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Finding the Fourth Proportional to 2,488.86, 3,732.98 and 1,027.82

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Solution

The fourth proportional to 2,488.86, 3,732.98 and 1,027.82 is: 1,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.86 : 3,732.98 = 1,027.82 : x
  2. Step 2: Convert to fraction form
    2,488.86/3,732.98 = 1,027.82/x
  3. Step 3: Cross multiply
    2,488.86x = 3,732.98 × 1,027.82
  4. Step 4: Simplify right side
    2,488.86x = 3,836,831.50
  5. Step 5: Solve for x
    x = 3,836,831.50/2,488.86
  6. Step 6: Final answer
    x = 1,541.60

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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.