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Finding the Fourth Proportional to 2,440.80, 3,661.17 and 591.93

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Solution

The fourth proportional to 2,440.80, 3,661.17 and 591.93 is: 887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.80 : 3,661.17 = 591.93 : x
  2. Step 2: Convert to fraction form
    2,440.80/3,661.17 = 591.93/x
  3. Step 3: Cross multiply
    2,440.80x = 3,661.17 × 591.93
  4. Step 4: Simplify right side
    2,440.80x = 2,167,154.14
  5. Step 5: Solve for x
    x = 2,167,154.14/2,440.80
  6. Step 6: Final answer
    x = 887.89

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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.