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Finding the Fourth Proportional to 2,889.76, 4,335.36 and 1,158.34

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Solution

The fourth proportional to 2,889.76, 4,335.36 and 1,158.34 is: 1,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.76 : 4,335.36 = 1,158.34 : x
  2. Step 2: Convert to fraction form
    2,889.76/4,335.36 = 1,158.34/x
  3. Step 3: Cross multiply
    2,889.76x = 4,335.36 × 1,158.34
  4. Step 4: Simplify right side
    2,889.76x = 5,021,820.90
  5. Step 5: Solve for x
    x = 5,021,820.90/2,889.76
  6. Step 6: Final answer
    x = 1,737.80

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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.