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Finding the Fourth Proportional to 3,272.61, 4,516.22 and 1,780.53

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Solution

The fourth proportional to 3,272.61, 4,516.22 and 1,780.53 is: 2,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.61 : 4,516.22 = 1,780.53 : x
  2. Step 2: Convert to fraction form
    3,272.61/4,516.22 = 1,780.53/x
  3. Step 3: Cross multiply
    3,272.61x = 4,516.22 × 1,780.53
  4. Step 4: Simplify right side
    3,272.61x = 8,041,256.29
  5. Step 5: Solve for x
    x = 8,041,256.29/3,272.61
  6. Step 6: Final answer
    x = 2,457.14

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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.