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Finding the Fourth Proportional to 2,047.48, 3,071.19 and 748.95

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Solution

The fourth proportional to 2,047.48, 3,071.19 and 748.95 is: 1,123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.48 : 3,071.19 = 748.95 : x
  2. Step 2: Convert to fraction form
    2,047.48/3,071.19 = 748.95/x
  3. Step 3: Cross multiply
    2,047.48x = 3,071.19 × 748.95
  4. Step 4: Simplify right side
    2,047.48x = 2,300,167.75
  5. Step 5: Solve for x
    x = 2,300,167.75/2,047.48
  6. Step 6: Final answer
    x = 1,123.41

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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.