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Finding the Fourth Proportional to 2,596.48, 3,894.64 and 747.54

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Solution

The fourth proportional to 2,596.48, 3,894.64 and 747.54 is: 1,121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.48 : 3,894.64 = 747.54 : x
  2. Step 2: Convert to fraction form
    2,596.48/3,894.64 = 747.54/x
  3. Step 3: Cross multiply
    2,596.48x = 3,894.64 × 747.54
  4. Step 4: Simplify right side
    2,596.48x = 2,911,397.32
  5. Step 5: Solve for x
    x = 2,911,397.32/2,596.48
  6. Step 6: Final answer
    x = 1,121.29

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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.