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Finding the Fourth Proportional to 2,273.68, 3,411.72 and 1,041.16

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Solution

The fourth proportional to 2,273.68, 3,411.72 and 1,041.16 is: 1,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.68 : 3,411.72 = 1,041.16 : x
  2. Step 2: Convert to fraction form
    2,273.68/3,411.72 = 1,041.16/x
  3. Step 3: Cross multiply
    2,273.68x = 3,411.72 × 1,041.16
  4. Step 4: Simplify right side
    2,273.68x = 3,552,146.40
  5. Step 5: Solve for x
    x = 3,552,146.40/2,273.68
  6. Step 6: Final answer
    x = 1,562.29

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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.