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Finding the Fourth Proportional to 2,211.49, 3,317.49 and 750.76

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Solution

The fourth proportional to 2,211.49, 3,317.49 and 750.76 is: 1,126.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.49 : 3,317.49 = 750.76 : x
  2. Step 2: Convert to fraction form
    2,211.49/3,317.49 = 750.76/x
  3. Step 3: Cross multiply
    2,211.49x = 3,317.49 × 750.76
  4. Step 4: Simplify right side
    2,211.49x = 2,490,638.79
  5. Step 5: Solve for x
    x = 2,490,638.79/2,211.49
  6. Step 6: Final answer
    x = 1,126.23

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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.