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Finding the Fourth Proportional to 2,114.71, 3,172.55 and 1,140.79

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Solution

The fourth proportional to 2,114.71, 3,172.55 and 1,140.79 is: 1,711.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.71 : 3,172.55 = 1,140.79 : x
  2. Step 2: Convert to fraction form
    2,114.71/3,172.55 = 1,140.79/x
  3. Step 3: Cross multiply
    2,114.71x = 3,172.55 × 1,140.79
  4. Step 4: Simplify right side
    2,114.71x = 3,619,213.31
  5. Step 5: Solve for x
    x = 3,619,213.31/2,114.71
  6. Step 6: Final answer
    x = 1,711.45

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