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Finding the Fourth Proportional to 2,213.90, 3,320.88 and 753.02

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Solution

The fourth proportional to 2,213.90, 3,320.88 and 753.02 is: 1,129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.90 : 3,320.88 = 753.02 : x
  2. Step 2: Convert to fraction form
    2,213.90/3,320.88 = 753.02/x
  3. Step 3: Cross multiply
    2,213.90x = 3,320.88 × 753.02
  4. Step 4: Simplify right side
    2,213.90x = 2,500,689.06
  5. Step 5: Solve for x
    x = 2,500,689.06/2,213.90
  6. Step 6: Final answer
    x = 1,129.54

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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.