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Finding the Fourth Proportional to 2,695.04, 4,042.58 and 747.11

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Solution

The fourth proportional to 2,695.04, 4,042.58 and 747.11 is: 1,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.04 : 4,042.58 = 747.11 : x
  2. Step 2: Convert to fraction form
    2,695.04/4,042.58 = 747.11/x
  3. Step 3: Cross multiply
    2,695.04x = 4,042.58 × 747.11
  4. Step 4: Simplify right side
    2,695.04x = 3,020,228.00
  5. Step 5: Solve for x
    x = 3,020,228.00/2,695.04
  6. Step 6: Final answer
    x = 1,120.66

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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.