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Finding the Fourth Proportional to 2,319.41, 3,479.13 and 588.04

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Solution

The fourth proportional to 2,319.41, 3,479.13 and 588.04 is: 882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.41 : 3,479.13 = 588.04 : x
  2. Step 2: Convert to fraction form
    2,319.41/3,479.13 = 588.04/x
  3. Step 3: Cross multiply
    2,319.41x = 3,479.13 × 588.04
  4. Step 4: Simplify right side
    2,319.41x = 2,045,867.61
  5. Step 5: Solve for x
    x = 2,045,867.61/2,319.41
  6. Step 6: Final answer
    x = 882.06

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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.