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Finding the Fourth Proportional to 2,543.10, 3,807.20 and 1,929.22

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Solution

The fourth proportional to 2,543.10, 3,807.20 and 1,929.22 is: 2,888.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.10 : 3,807.20 = 1,929.22 : x
  2. Step 2: Convert to fraction form
    2,543.10/3,807.20 = 1,929.22/x
  3. Step 3: Cross multiply
    2,543.10x = 3,807.20 × 1,929.22
  4. Step 4: Simplify right side
    2,543.10x = 7,344,921.69
  5. Step 5: Solve for x
    x = 7,344,921.69/2,543.10
  6. Step 6: Final answer
    x = 2,888.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.