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Finding the Fourth Proportional to 1,685.71, 2,325.14 and 1,464.27

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Solution

The fourth proportional to 1,685.71, 2,325.14 and 1,464.27 is: 2,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.71 : 2,325.14 = 1,464.27 : x
  2. Step 2: Convert to fraction form
    1,685.71/2,325.14 = 1,464.27/x
  3. Step 3: Cross multiply
    1,685.71x = 2,325.14 × 1,464.27
  4. Step 4: Simplify right side
    1,685.71x = 3,404,625.43
  5. Step 5: Solve for x
    x = 3,404,625.43/1,685.71
  6. Step 6: Final answer
    x = 2,019.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.