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Finding the Fourth Proportional to 2,508.58, 3,762.18 and 753.52

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Solution

The fourth proportional to 2,508.58, 3,762.18 and 753.52 is: 1,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.58 : 3,762.18 = 753.52 : x
  2. Step 2: Convert to fraction form
    2,508.58/3,762.18 = 753.52/x
  3. Step 3: Cross multiply
    2,508.58x = 3,762.18 × 753.52
  4. Step 4: Simplify right side
    2,508.58x = 2,834,877.87
  5. Step 5: Solve for x
    x = 2,834,877.87/2,508.58
  6. Step 6: Final answer
    x = 1,130.07

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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.