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Finding the Fourth Proportional to 2,682.16, 3,700.15 and 1,562.44

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Solution

The fourth proportional to 2,682.16, 3,700.15 and 1,562.44 is: 2,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.16 : 3,700.15 = 1,562.44 : x
  2. Step 2: Convert to fraction form
    2,682.16/3,700.15 = 1,562.44/x
  3. Step 3: Cross multiply
    2,682.16x = 3,700.15 × 1,562.44
  4. Step 4: Simplify right side
    2,682.16x = 5,781,256.15
  5. Step 5: Solve for x
    x = 5,781,256.15/2,682.16
  6. Step 6: Final answer
    x = 2,155.45

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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.