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Finding the Fourth Proportional to 1,924, 2,655.12 and 1,096.16

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Solution

The fourth proportional to 1,924, 2,655.12 and 1,096.16 is: 1,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924 : 2,655.12 = 1,096.16 : x
  2. Step 2: Convert to fraction form
    1,924/2,655.12 = 1,096.16/x
  3. Step 3: Cross multiply
    1,924x = 2,655.12 × 1,096.16
  4. Step 4: Simplify right side
    1,924x = 2,910,436.34
  5. Step 5: Solve for x
    x = 2,910,436.34/1,924
  6. Step 6: Final answer
    x = 1,512.70

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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.