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Finding the Fourth Proportional to 1,759.19, 2,637.89 and 588.78

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Solution

The fourth proportional to 1,759.19, 2,637.89 and 588.78 is: 882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.19 : 2,637.89 = 588.78 : x
  2. Step 2: Convert to fraction form
    1,759.19/2,637.89 = 588.78/x
  3. Step 3: Cross multiply
    1,759.19x = 2,637.89 × 588.78
  4. Step 4: Simplify right side
    1,759.19x = 1,553,138.35
  5. Step 5: Solve for x
    x = 1,553,138.35/1,759.19
  6. Step 6: Final answer
    x = 882.87

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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.