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Finding the Fourth Proportional to 2,594.68, 3,893.80 and 1,134.24

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Solution

The fourth proportional to 2,594.68, 3,893.80 and 1,134.24 is: 1,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.68 : 3,893.80 = 1,134.24 : x
  2. Step 2: Convert to fraction form
    2,594.68/3,893.80 = 1,134.24/x
  3. Step 3: Cross multiply
    2,594.68x = 3,893.80 × 1,134.24
  4. Step 4: Simplify right side
    2,594.68x = 4,416,503.71
  5. Step 5: Solve for x
    x = 4,416,503.71/2,594.68
  6. Step 6: Final answer
    x = 1,702.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.