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Finding the Fourth Proportional to 2,595.35, 3,893.61 and 746.48

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Solution

The fourth proportional to 2,595.35, 3,893.61 and 746.48 is: 1,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.35 : 3,893.61 = 746.48 : x
  2. Step 2: Convert to fraction form
    2,595.35/3,893.61 = 746.48/x
  3. Step 3: Cross multiply
    2,595.35x = 3,893.61 × 746.48
  4. Step 4: Simplify right side
    2,595.35x = 2,906,482.52
  5. Step 5: Solve for x
    x = 2,906,482.52/2,595.35
  6. Step 6: Final answer
    x = 1,119.88

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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.