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Finding the Fourth Proportional to 2,319.45, 3,479.21 and 588.03

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Solution

The fourth proportional to 2,319.45, 3,479.21 and 588.03 is: 882.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.45 : 3,479.21 = 588.03 : x
  2. Step 2: Convert to fraction form
    2,319.45/3,479.21 = 588.03/x
  3. Step 3: Cross multiply
    2,319.45x = 3,479.21 × 588.03
  4. Step 4: Simplify right side
    2,319.45x = 2,045,876.92
  5. Step 5: Solve for x
    x = 2,045,876.92/2,319.45
  6. Step 6: Final answer
    x = 882.05

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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.