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Finding the Fourth Proportional to 1,434.32, 2,151.48 and 857.36

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Solution

The fourth proportional to 1,434.32, 2,151.48 and 857.36 is: 1,286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.32 : 2,151.48 = 857.36 : x
  2. Step 2: Convert to fraction form
    1,434.32/2,151.48 = 857.36/x
  3. Step 3: Cross multiply
    1,434.32x = 2,151.48 × 857.36
  4. Step 4: Simplify right side
    1,434.32x = 1,844,592.89
  5. Step 5: Solve for x
    x = 1,844,592.89/1,434.32
  6. Step 6: Final answer
    x = 1,286.04

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