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Finding the Fourth Proportional to 2,564.80, 3,538.96 and 1,516.80

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Solution

The fourth proportional to 2,564.80, 3,538.96 and 1,516.80 is: 2,092.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.80 : 3,538.96 = 1,516.80 : x
  2. Step 2: Convert to fraction form
    2,564.80/3,538.96 = 1,516.80/x
  3. Step 3: Cross multiply
    2,564.80x = 3,538.96 × 1,516.80
  4. Step 4: Simplify right side
    2,564.80x = 5,367,894.53
  5. Step 5: Solve for x
    x = 5,367,894.53/2,564.80
  6. Step 6: Final answer
    x = 2,092.91

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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.