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Finding the Fourth Proportional to 2,392.52, 3,588.21 and 1,159.29

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Solution

The fourth proportional to 2,392.52, 3,588.21 and 1,159.29 is: 1,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.52 : 3,588.21 = 1,159.29 : x
  2. Step 2: Convert to fraction form
    2,392.52/3,588.21 = 1,159.29/x
  3. Step 3: Cross multiply
    2,392.52x = 3,588.21 × 1,159.29
  4. Step 4: Simplify right side
    2,392.52x = 4,159,775.97
  5. Step 5: Solve for x
    x = 4,159,775.97/2,392.52
  6. Step 6: Final answer
    x = 1,738.66

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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.