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Finding the Fourth Proportional to 1,646.08, 2,470.10 and 591.80

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Solution

The fourth proportional to 1,646.08, 2,470.10 and 591.80 is: 888.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.08 : 2,470.10 = 591.80 : x
  2. Step 2: Convert to fraction form
    1,646.08/2,470.10 = 591.80/x
  3. Step 3: Cross multiply
    1,646.08x = 2,470.10 × 591.80
  4. Step 4: Simplify right side
    1,646.08x = 1,461,802.22
  5. Step 5: Solve for x
    x = 1,461,802.22/1,646.08
  6. Step 6: Final answer
    x = 888.05

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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.