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Finding the Fourth Proportional to 1,767.59, 2,439.33 and 981.70

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Solution

The fourth proportional to 1,767.59, 2,439.33 and 981.70 is: 1,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.59 : 2,439.33 = 981.70 : x
  2. Step 2: Convert to fraction form
    1,767.59/2,439.33 = 981.70/x
  3. Step 3: Cross multiply
    1,767.59x = 2,439.33 × 981.70
  4. Step 4: Simplify right side
    1,767.59x = 2,394,690.26
  5. Step 5: Solve for x
    x = 2,394,690.26/1,767.59
  6. Step 6: Final answer
    x = 1,354.78

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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.