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Finding the Fourth Proportional to 2,672.50, 3,686.43 and 1,726.78

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Solution

The fourth proportional to 2,672.50, 3,686.43 and 1,726.78 is: 2,381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.50 : 3,686.43 = 1,726.78 : x
  2. Step 2: Convert to fraction form
    2,672.50/3,686.43 = 1,726.78/x
  3. Step 3: Cross multiply
    2,672.50x = 3,686.43 × 1,726.78
  4. Step 4: Simplify right side
    2,672.50x = 6,365,653.60
  5. Step 5: Solve for x
    x = 6,365,653.60/2,672.50
  6. Step 6: Final answer
    x = 2,381.91

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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.