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Finding the Fourth Proportional to 2,682.36, 3,700.08 and 1,562.76

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Solution

The fourth proportional to 2,682.36, 3,700.08 and 1,562.76 is: 2,155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.36 : 3,700.08 = 1,562.76 : x
  2. Step 2: Convert to fraction form
    2,682.36/3,700.08 = 1,562.76/x
  3. Step 3: Cross multiply
    2,682.36x = 3,700.08 × 1,562.76
  4. Step 4: Simplify right side
    2,682.36x = 5,782,337.02
  5. Step 5: Solve for x
    x = 5,782,337.02/2,682.36
  6. Step 6: Final answer
    x = 2,155.69

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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.