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Finding the Fourth Proportional to 1,709,727.60, 2,564,591.40 and 1,684,844.40

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Solution

The fourth proportional to 1,709,727.60, 2,564,591.40 and 1,684,844.40 is: 2,527,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709,727.60 : 2,564,591.40 = 1,684,844.40 : x
  2. Step 2: Convert to fraction form
    1,709,727.60/2,564,591.40 = 1,684,844.40/x
  3. Step 3: Cross multiply
    1,709,727.60x = 2,564,591.40 × 1,684,844.40
  4. Step 4: Simplify right side
    1,709,727.60x = 4,320,937,458,578.16
  5. Step 5: Solve for x
    x = 4,320,937,458,578.16/1,709,727.60
  6. Step 6: Final answer
    x = 2,527,266.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.