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Finding the Fourth Proportional to 2,612.72, 3,918.66 and 763.76

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Solution

The fourth proportional to 2,612.72, 3,918.66 and 763.76 is: 1,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.72 : 3,918.66 = 763.76 : x
  2. Step 2: Convert to fraction form
    2,612.72/3,918.66 = 763.76/x
  3. Step 3: Cross multiply
    2,612.72x = 3,918.66 × 763.76
  4. Step 4: Simplify right side
    2,612.72x = 2,992,915.76
  5. Step 5: Solve for x
    x = 2,992,915.76/2,612.72
  6. Step 6: Final answer
    x = 1,145.52

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1.5x scale

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.