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Finding the Fourth Proportional to 2,516.58, 3,775.52 and 761.59

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Solution

The fourth proportional to 2,516.58, 3,775.52 and 761.59 is: 1,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516.58 : 3,775.52 = 761.59 : x
  2. Step 2: Convert to fraction form
    2,516.58/3,775.52 = 761.59/x
  3. Step 3: Cross multiply
    2,516.58x = 3,775.52 × 761.59
  4. Step 4: Simplify right side
    2,516.58x = 2,875,398.28
  5. Step 5: Solve for x
    x = 2,875,398.28/2,516.58
  6. Step 6: Final answer
    x = 1,142.58

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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.