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Finding the Fourth Proportional to 2,499.57, 3,749.16 and 1,038.66

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Solution

The fourth proportional to 2,499.57, 3,749.16 and 1,038.66 is: 1,557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.57 : 3,749.16 = 1,038.66 : x
  2. Step 2: Convert to fraction form
    2,499.57/3,749.16 = 1,038.66/x
  3. Step 3: Cross multiply
    2,499.57x = 3,749.16 × 1,038.66
  4. Step 4: Simplify right side
    2,499.57x = 3,894,102.53
  5. Step 5: Solve for x
    x = 3,894,102.53/2,499.57
  6. Step 6: Final answer
    x = 1,557.91

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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.