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Finding the Fourth Proportional to 2,506.79, 3,762.45 and 1,337.78

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Solution

The fourth proportional to 2,506.79, 3,762.45 and 1,337.78 is: 2,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.79 : 3,762.45 = 1,337.78 : x
  2. Step 2: Convert to fraction form
    2,506.79/3,762.45 = 1,337.78/x
  3. Step 3: Cross multiply
    2,506.79x = 3,762.45 × 1,337.78
  4. Step 4: Simplify right side
    2,506.79x = 5,033,330.36
  5. Step 5: Solve for x
    x = 5,033,330.36/2,506.79
  6. Step 6: Final answer
    x = 2,007.88

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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.