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Finding the Fourth Proportional to 1,872.48, 2,812.08 and 1,296.48

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Solution

The fourth proportional to 1,872.48, 2,812.08 and 1,296.48 is: 1,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.48 : 2,812.08 = 1,296.48 : x
  2. Step 2: Convert to fraction form
    1,872.48/2,812.08 = 1,296.48/x
  3. Step 3: Cross multiply
    1,872.48x = 2,812.08 × 1,296.48
  4. Step 4: Simplify right side
    1,872.48x = 3,645,805.48
  5. Step 5: Solve for x
    x = 3,645,805.48/1,872.48
  6. Step 6: Final answer
    x = 1,947.05

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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.