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Finding the Fourth Proportional to 2,213.19, 3,319.93 and 752.15

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Solution

The fourth proportional to 2,213.19, 3,319.93 and 752.15 is: 1,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.19 : 3,319.93 = 752.15 : x
  2. Step 2: Convert to fraction form
    2,213.19/3,319.93 = 752.15/x
  3. Step 3: Cross multiply
    2,213.19x = 3,319.93 × 752.15
  4. Step 4: Simplify right side
    2,213.19x = 2,497,068.75
  5. Step 5: Solve for x
    x = 2,497,068.75/2,213.19
  6. Step 6: Final answer
    x = 1,128.27

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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.