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Finding the Fourth Proportional to 2,695.47, 3,721.73 and 1,648.95

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Solution

The fourth proportional to 2,695.47, 3,721.73 and 1,648.95 is: 2,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.47 : 3,721.73 = 1,648.95 : x
  2. Step 2: Convert to fraction form
    2,695.47/3,721.73 = 1,648.95/x
  3. Step 3: Cross multiply
    2,695.47x = 3,721.73 × 1,648.95
  4. Step 4: Simplify right side
    2,695.47x = 6,136,938.44
  5. Step 5: Solve for x
    x = 6,136,938.44/2,695.47
  6. Step 6: Final answer
    x = 2,276.76

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