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Finding the Fourth Proportional to 2,649.89, 3,657.50 and 1,531.47

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Solution

The fourth proportional to 2,649.89, 3,657.50 and 1,531.47 is: 2,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.89 : 3,657.50 = 1,531.47 : x
  2. Step 2: Convert to fraction form
    2,649.89/3,657.50 = 1,531.47/x
  3. Step 3: Cross multiply
    2,649.89x = 3,657.50 × 1,531.47
  4. Step 4: Simplify right side
    2,649.89x = 5,601,355.35
  5. Step 5: Solve for x
    x = 5,601,355.35/2,649.89
  6. Step 6: Final answer
    x = 2,113.81

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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.