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Finding the Fourth Proportional to 2,488.61, 3,733.45 and 757.19

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Solution

The fourth proportional to 2,488.61, 3,733.45 and 757.19 is: 1,135.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.61 : 3,733.45 = 757.19 : x
  2. Step 2: Convert to fraction form
    2,488.61/3,733.45 = 757.19/x
  3. Step 3: Cross multiply
    2,488.61x = 3,733.45 × 757.19
  4. Step 4: Simplify right side
    2,488.61x = 2,826,931.01
  5. Step 5: Solve for x
    x = 2,826,931.01/2,488.61
  6. Step 6: Final answer
    x = 1,135.95

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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.