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Finding the Fourth Proportional to 2,117.76, 3,171.84 and 1,250.40

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Solution

The fourth proportional to 2,117.76, 3,171.84 and 1,250.40 is: 1,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.76 : 3,171.84 = 1,250.40 : x
  2. Step 2: Convert to fraction form
    2,117.76/3,171.84 = 1,250.40/x
  3. Step 3: Cross multiply
    2,117.76x = 3,171.84 × 1,250.40
  4. Step 4: Simplify right side
    2,117.76x = 3,966,068.74
  5. Step 5: Solve for x
    x = 3,966,068.74/2,117.76
  6. Step 6: Final answer
    x = 1,872.77

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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.