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Finding the Fourth Proportional to 2,762.89, 4,148.50 and 2,377.10

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Solution

The fourth proportional to 2,762.89, 4,148.50 and 2,377.10 is: 3,569.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.89 : 4,148.50 = 2,377.10 : x
  2. Step 2: Convert to fraction form
    2,762.89/4,148.50 = 2,377.10/x
  3. Step 3: Cross multiply
    2,762.89x = 4,148.50 × 2,377.10
  4. Step 4: Simplify right side
    2,762.89x = 9,861,384.90
  5. Step 5: Solve for x
    x = 9,861,384.90/2,762.89
  6. Step 6: Final answer
    x = 3,569.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.