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Finding the Fourth Proportional to 2,211.80, 3,316.76 and 750.29

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Solution

The fourth proportional to 2,211.80, 3,316.76 and 750.29 is: 1,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.80 : 3,316.76 = 750.29 : x
  2. Step 2: Convert to fraction form
    2,211.80/3,316.76 = 750.29/x
  3. Step 3: Cross multiply
    2,211.80x = 3,316.76 × 750.29
  4. Step 4: Simplify right side
    2,211.80x = 2,488,528.11
  5. Step 5: Solve for x
    x = 2,488,528.11/2,211.80
  6. Step 6: Final answer
    x = 1,125.11

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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.