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Finding the Fourth Proportional to 2,508.02, 3,760.85 and 752.35

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Solution

The fourth proportional to 2,508.02, 3,760.85 and 752.35 is: 1,128.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.02 : 3,760.85 = 752.35 : x
  2. Step 2: Convert to fraction form
    2,508.02/3,760.85 = 752.35/x
  3. Step 3: Cross multiply
    2,508.02x = 3,760.85 × 752.35
  4. Step 4: Simplify right side
    2,508.02x = 2,829,454.81
  5. Step 5: Solve for x
    x = 2,829,454.81/2,508.02
  6. Step 6: Final answer
    x = 1,128.16

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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.