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Finding the Fourth Proportional to 2,139.75, 2,951.24 and 1,477.71

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Solution

The fourth proportional to 2,139.75, 2,951.24 and 1,477.71 is: 2,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.75 : 2,951.24 = 1,477.71 : x
  2. Step 2: Convert to fraction form
    2,139.75/2,951.24 = 1,477.71/x
  3. Step 3: Cross multiply
    2,139.75x = 2,951.24 × 1,477.71
  4. Step 4: Simplify right side
    2,139.75x = 4,361,069.47
  5. Step 5: Solve for x
    x = 4,361,069.47/2,139.75
  6. Step 6: Final answer
    x = 2,038.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.