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Finding the Fourth Proportional to 2,650.84, 3,657.31 and 1,531.63

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Solution

The fourth proportional to 2,650.84, 3,657.31 and 1,531.63 is: 2,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.84 : 3,657.31 = 1,531.63 : x
  2. Step 2: Convert to fraction form
    2,650.84/3,657.31 = 1,531.63/x
  3. Step 3: Cross multiply
    2,650.84x = 3,657.31 × 1,531.63
  4. Step 4: Simplify right side
    2,650.84x = 5,601,619.77
  5. Step 5: Solve for x
    x = 5,601,619.77/2,650.84
  6. Step 6: Final answer
    x = 2,113.15

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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.