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Finding the Fourth Proportional to 2,151.70, 2,966.50 and 1,404.35

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Solution

The fourth proportional to 2,151.70, 2,966.50 and 1,404.35 is: 1,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.70 : 2,966.50 = 1,404.35 : x
  2. Step 2: Convert to fraction form
    2,151.70/2,966.50 = 1,404.35/x
  3. Step 3: Cross multiply
    2,151.70x = 2,966.50 × 1,404.35
  4. Step 4: Simplify right side
    2,151.70x = 4,165,997.25
  5. Step 5: Solve for x
    x = 4,165,997.25/2,151.70
  6. Step 6: Final answer
    x = 1,936.15

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