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Finding the Fourth Proportional to 2,152.58, 3,228.76 and 765.92

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Solution

The fourth proportional to 2,152.58, 3,228.76 and 765.92 is: 1,148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.58 : 3,228.76 = 765.92 : x
  2. Step 2: Convert to fraction form
    2,152.58/3,228.76 = 765.92/x
  3. Step 3: Cross multiply
    2,152.58x = 3,228.76 × 765.92
  4. Step 4: Simplify right side
    2,152.58x = 2,472,980.89
  5. Step 5: Solve for x
    x = 2,472,980.89/2,152.58
  6. Step 6: Final answer
    x = 1,148.85

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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.