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Finding the Fourth Proportional to 2,047.64, 3,070.92 and 749.12

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Solution

The fourth proportional to 2,047.64, 3,070.92 and 749.12 is: 1,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.64 : 3,070.92 = 749.12 : x
  2. Step 2: Convert to fraction form
    2,047.64/3,070.92 = 749.12/x
  3. Step 3: Cross multiply
    2,047.64x = 3,070.92 × 749.12
  4. Step 4: Simplify right side
    2,047.64x = 2,300,487.59
  5. Step 5: Solve for x
    x = 2,300,487.59/2,047.64
  6. Step 6: Final answer
    x = 1,123.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.