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Finding the Fourth Proportional to 2,574.70, 3,553.31 and 2,154.31

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Solution

The fourth proportional to 2,574.70, 3,553.31 and 2,154.31 is: 2,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.70 : 3,553.31 = 2,154.31 : x
  2. Step 2: Convert to fraction form
    2,574.70/3,553.31 = 2,154.31/x
  3. Step 3: Cross multiply
    2,574.70x = 3,553.31 × 2,154.31
  4. Step 4: Simplify right side
    2,574.70x = 7,654,931.27
  5. Step 5: Solve for x
    x = 7,654,931.27/2,574.70
  6. Step 6: Final answer
    x = 2,973.14

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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.