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Finding the Fourth Proportional to 2,506.43, 3,758.92 and 751.36

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Solution

The fourth proportional to 2,506.43, 3,758.92 and 751.36 is: 1,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.43 : 3,758.92 = 751.36 : x
  2. Step 2: Convert to fraction form
    2,506.43/3,758.92 = 751.36/x
  3. Step 3: Cross multiply
    2,506.43x = 3,758.92 × 751.36
  4. Step 4: Simplify right side
    2,506.43x = 2,824,302.13
  5. Step 5: Solve for x
    x = 2,824,302.13/2,506.43
  6. Step 6: Final answer
    x = 1,126.82

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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.