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Finding the Fourth Proportional to 1,404.67, 2,116.52 and 1,166.53

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Solution

The fourth proportional to 1,404.67, 2,116.52 and 1,166.53 is: 1,757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.67 : 2,116.52 = 1,166.53 : x
  2. Step 2: Convert to fraction form
    1,404.67/2,116.52 = 1,166.53/x
  3. Step 3: Cross multiply
    1,404.67x = 2,116.52 × 1,166.53
  4. Step 4: Simplify right side
    1,404.67x = 2,468,984.08
  5. Step 5: Solve for x
    x = 2,468,984.08/1,404.67
  6. Step 6: Final answer
    x = 1,757.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.