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Finding the Fourth Proportional to 1,926.32, 2,889.16 and 558

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Solution

The fourth proportional to 1,926.32, 2,889.16 and 558 is: 836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.32 : 2,889.16 = 558 : x
  2. Step 2: Convert to fraction form
    1,926.32/2,889.16 = 558/x
  3. Step 3: Cross multiply
    1,926.32x = 2,889.16 × 558
  4. Step 4: Simplify right side
    1,926.32x = 1,612,151.28
  5. Step 5: Solve for x
    x = 1,612,151.28/1,926.32
  6. Step 6: Final answer
    x = 836.91

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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.