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Finding the Fourth Proportional to 2,319.56, 3,479.55 and 588.19

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Solution

The fourth proportional to 2,319.56, 3,479.55 and 588.19 is: 882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.56 : 3,479.55 = 588.19 : x
  2. Step 2: Convert to fraction form
    2,319.56/3,479.55 = 588.19/x
  3. Step 3: Cross multiply
    2,319.56x = 3,479.55 × 588.19
  4. Step 4: Simplify right side
    2,319.56x = 2,046,625.61
  5. Step 5: Solve for x
    x = 2,046,625.61/2,319.56
  6. Step 6: Final answer
    x = 882.33

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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.