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Finding the Fourth Proportional to 2,681.70, 3,700.56 and 1,562.46

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Solution

The fourth proportional to 2,681.70, 3,700.56 and 1,562.46 is: 2,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.70 : 3,700.56 = 1,562.46 : x
  2. Step 2: Convert to fraction form
    2,681.70/3,700.56 = 1,562.46/x
  3. Step 3: Cross multiply
    2,681.70x = 3,700.56 × 1,562.46
  4. Step 4: Simplify right side
    2,681.70x = 5,781,976.98
  5. Step 5: Solve for x
    x = 5,781,976.98/2,681.70
  6. Step 6: Final answer
    x = 2,156.09

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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.