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Finding the Fourth Proportional to 2,594.26, 3,893.46 and 1,133.20

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Solution

The fourth proportional to 2,594.26, 3,893.46 and 1,133.20 is: 1,700.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.26 : 3,893.46 = 1,133.20 : x
  2. Step 2: Convert to fraction form
    2,594.26/3,893.46 = 1,133.20/x
  3. Step 3: Cross multiply
    2,594.26x = 3,893.46 × 1,133.20
  4. Step 4: Simplify right side
    2,594.26x = 4,412,068.87
  5. Step 5: Solve for x
    x = 4,412,068.87/2,594.26
  6. Step 6: Final answer
    x = 1,700.70

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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.