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Finding the Fourth Proportional to 2,780.84, 4,171.62 and 931.52

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Solution

The fourth proportional to 2,780.84, 4,171.62 and 931.52 is: 1,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.84 : 4,171.62 = 931.52 : x
  2. Step 2: Convert to fraction form
    2,780.84/4,171.62 = 931.52/x
  3. Step 3: Cross multiply
    2,780.84x = 4,171.62 × 931.52
  4. Step 4: Simplify right side
    2,780.84x = 3,885,947.46
  5. Step 5: Solve for x
    x = 3,885,947.46/2,780.84
  6. Step 6: Final answer
    x = 1,397.40

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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.