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Finding the Fourth Proportional to 2,154.78, 2,972.13 and 1,357.34

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Solution

The fourth proportional to 2,154.78, 2,972.13 and 1,357.34 is: 1,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.78 : 2,972.13 = 1,357.34 : x
  2. Step 2: Convert to fraction form
    2,154.78/2,972.13 = 1,357.34/x
  3. Step 3: Cross multiply
    2,154.78x = 2,972.13 × 1,357.34
  4. Step 4: Simplify right side
    2,154.78x = 4,034,170.98
  5. Step 5: Solve for x
    x = 4,034,170.98/2,154.78
  6. Step 6: Final answer
    x = 1,872.20

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