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Finding the Fourth Proportional to 2,594.53, 3,891.83 and 1,134.72

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Solution

The fourth proportional to 2,594.53, 3,891.83 and 1,134.72 is: 1,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.53 : 3,891.83 = 1,134.72 : x
  2. Step 2: Convert to fraction form
    2,594.53/3,891.83 = 1,134.72/x
  3. Step 3: Cross multiply
    2,594.53x = 3,891.83 × 1,134.72
  4. Step 4: Simplify right side
    2,594.53x = 4,416,137.34
  5. Step 5: Solve for x
    x = 4,416,137.34/2,594.53
  6. Step 6: Final answer
    x = 1,702.10

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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.