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Finding the Fourth Proportional to 2,329.62, 3,490.98 and 1,588.74

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Solution

The fourth proportional to 2,329.62, 3,490.98 and 1,588.74 is: 2,380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.62 : 3,490.98 = 1,588.74 : x
  2. Step 2: Convert to fraction form
    2,329.62/3,490.98 = 1,588.74/x
  3. Step 3: Cross multiply
    2,329.62x = 3,490.98 × 1,588.74
  4. Step 4: Simplify right side
    2,329.62x = 5,546,259.57
  5. Step 5: Solve for x
    x = 5,546,259.57/2,329.62
  6. Step 6: Final answer
    x = 2,380.76

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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.