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Finding the Fourth Proportional to 2,695.02, 4,042.50 and 963.78

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Solution

The fourth proportional to 2,695.02, 4,042.50 and 963.78 is: 1,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.02 : 4,042.50 = 963.78 : x
  2. Step 2: Convert to fraction form
    2,695.02/4,042.50 = 963.78/x
  3. Step 3: Cross multiply
    2,695.02x = 4,042.50 × 963.78
  4. Step 4: Simplify right side
    2,695.02x = 3,896,080.65
  5. Step 5: Solve for x
    x = 3,896,080.65/2,695.02
  6. Step 6: Final answer
    x = 1,445.66

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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.