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Finding the Fourth Proportional to 2,695.99, 3,721.17 and 1,648.93

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Solution

The fourth proportional to 2,695.99, 3,721.17 and 1,648.93 is: 2,275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.99 : 3,721.17 = 1,648.93 : x
  2. Step 2: Convert to fraction form
    2,695.99/3,721.17 = 1,648.93/x
  3. Step 3: Cross multiply
    2,695.99x = 3,721.17 × 1,648.93
  4. Step 4: Simplify right side
    2,695.99x = 6,135,948.85
  5. Step 5: Solve for x
    x = 6,135,948.85/2,695.99
  6. Step 6: Final answer
    x = 2,275.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.