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Finding the Fourth Proportional to 1,889.52, 2,830.18 and 1,156.88

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Solution

The fourth proportional to 1,889.52, 2,830.18 and 1,156.88 is: 1,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.52 : 2,830.18 = 1,156.88 : x
  2. Step 2: Convert to fraction form
    1,889.52/2,830.18 = 1,156.88/x
  3. Step 3: Cross multiply
    1,889.52x = 2,830.18 × 1,156.88
  4. Step 4: Simplify right side
    1,889.52x = 3,274,178.64
  5. Step 5: Solve for x
    x = 3,274,178.64/1,889.52
  6. Step 6: Final answer
    x = 1,732.81

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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.