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Finding the Fourth Proportional to 2,594.78, 3,889.96 and 1,132.84

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Solution

The fourth proportional to 2,594.78, 3,889.96 and 1,132.84 is: 1,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.78 : 3,889.96 = 1,132.84 : x
  2. Step 2: Convert to fraction form
    2,594.78/3,889.96 = 1,132.84/x
  3. Step 3: Cross multiply
    2,594.78x = 3,889.96 × 1,132.84
  4. Step 4: Simplify right side
    2,594.78x = 4,406,702.29
  5. Step 5: Solve for x
    x = 4,406,702.29/2,594.78
  6. Step 6: Final answer
    x = 1,698.30

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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.