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Finding the Fourth Proportional to 1,567, 2,160.48 and 1,253.44

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Solution

The fourth proportional to 1,567, 2,160.48 and 1,253.44 is: 1,728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567 : 2,160.48 = 1,253.44 : x
  2. Step 2: Convert to fraction form
    1,567/2,160.48 = 1,253.44/x
  3. Step 3: Cross multiply
    1,567x = 2,160.48 × 1,253.44
  4. Step 4: Simplify right side
    1,567x = 2,708,032.05
  5. Step 5: Solve for x
    x = 2,708,032.05/1,567
  6. Step 6: Final answer
    x = 1,728.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.