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Finding the Fourth Proportional to 1,374.24, 2,062.08 and 1,264.08

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Solution

The fourth proportional to 1,374.24, 2,062.08 and 1,264.08 is: 1,896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.24 : 2,062.08 = 1,264.08 : x
  2. Step 2: Convert to fraction form
    1,374.24/2,062.08 = 1,264.08/x
  3. Step 3: Cross multiply
    1,374.24x = 2,062.08 × 1,264.08
  4. Step 4: Simplify right side
    1,374.24x = 2,606,634.09
  5. Step 5: Solve for x
    x = 2,606,634.09/1,374.24
  6. Step 6: Final answer
    x = 1,896.78

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Why These Related Problems?

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