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Finding the Fourth Proportional to 2,695.64, 4,043.00 and 747.38

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Solution

The fourth proportional to 2,695.64, 4,043.00 and 747.38 is: 1,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.64 : 4,043.00 = 747.38 : x
  2. Step 2: Convert to fraction form
    2,695.64/4,043.00 = 747.38/x
  3. Step 3: Cross multiply
    2,695.64x = 4,043.00 × 747.38
  4. Step 4: Simplify right side
    2,695.64x = 3,021,669.32
  5. Step 5: Solve for x
    x = 3,021,669.32/2,695.64
  6. Step 6: Final answer
    x = 1,120.95

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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.