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Finding the Fourth Proportional to 2,048.91, 3,070.67 and 749.13

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Solution

The fourth proportional to 2,048.91, 3,070.67 and 749.13 is: 1,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.91 : 3,070.67 = 749.13 : x
  2. Step 2: Convert to fraction form
    2,048.91/3,070.67 = 749.13/x
  3. Step 3: Cross multiply
    2,048.91x = 3,070.67 × 749.13
  4. Step 4: Simplify right side
    2,048.91x = 2,300,327.27
  5. Step 5: Solve for x
    x = 2,300,327.27/2,048.91
  6. Step 6: Final answer
    x = 1,122.71

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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.