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Finding the Fourth Proportional to 2,294.32, 3,164.84 and 1,397.36

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Solution

The fourth proportional to 2,294.32, 3,164.84 and 1,397.36 is: 1,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.32 : 3,164.84 = 1,397.36 : x
  2. Step 2: Convert to fraction form
    2,294.32/3,164.84 = 1,397.36/x
  3. Step 3: Cross multiply
    2,294.32x = 3,164.84 × 1,397.36
  4. Step 4: Simplify right side
    2,294.32x = 4,422,420.82
  5. Step 5: Solve for x
    x = 4,422,420.82/2,294.32
  6. Step 6: Final answer
    x = 1,927.55

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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.