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Finding the Fourth Proportional to 2,860.65, 4,285.93 and 2,505.29

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Solution

The fourth proportional to 2,860.65, 4,285.93 and 2,505.29 is: 3,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.65 : 4,285.93 = 2,505.29 : x
  2. Step 2: Convert to fraction form
    2,860.65/4,285.93 = 2,505.29/x
  3. Step 3: Cross multiply
    2,860.65x = 4,285.93 × 2,505.29
  4. Step 4: Simplify right side
    2,860.65x = 10,737,508.74
  5. Step 5: Solve for x
    x = 10,737,508.74/2,860.65
  6. Step 6: Final answer
    x = 3,753.52

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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.