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Finding the Fourth Proportional to 2,695.03, 4,042.56 and 747.38

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Solution

The fourth proportional to 2,695.03, 4,042.56 and 747.38 is: 1,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.03 : 4,042.56 = 747.38 : x
  2. Step 2: Convert to fraction form
    2,695.03/4,042.56 = 747.38/x
  3. Step 3: Cross multiply
    2,695.03x = 4,042.56 × 747.38
  4. Step 4: Simplify right side
    2,695.03x = 3,021,341.40
  5. Step 5: Solve for x
    x = 3,021,341.40/2,695.03
  6. Step 6: Final answer
    x = 1,121.08

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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.