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Finding the Fourth Proportional to 2,712.32, 4,068.58 and 764.57

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Solution

The fourth proportional to 2,712.32, 4,068.58 and 764.57 is: 1,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.32 : 4,068.58 = 764.57 : x
  2. Step 2: Convert to fraction form
    2,712.32/4,068.58 = 764.57/x
  3. Step 3: Cross multiply
    2,712.32x = 4,068.58 × 764.57
  4. Step 4: Simplify right side
    2,712.32x = 3,110,722.47
  5. Step 5: Solve for x
    x = 3,110,722.47/2,712.32
  6. Step 6: Final answer
    x = 1,146.89

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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.