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Finding the Fourth Proportional to 2,712.64, 4,068.32 and 764.40

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Solution

The fourth proportional to 2,712.64, 4,068.32 and 764.40 is: 1,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.64 : 4,068.32 = 764.40 : x
  2. Step 2: Convert to fraction form
    2,712.64/4,068.32 = 764.40/x
  3. Step 3: Cross multiply
    2,712.64x = 4,068.32 × 764.40
  4. Step 4: Simplify right side
    2,712.64x = 3,109,823.81
  5. Step 5: Solve for x
    x = 3,109,823.81/2,712.64
  6. Step 6: Final answer
    x = 1,146.42

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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.