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Finding the Fourth Proportional to 2,677.97, 4,016.95 and 730.46

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Solution

The fourth proportional to 2,677.97, 4,016.95 and 730.46 is: 1,095.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.97 : 4,016.95 = 730.46 : x
  2. Step 2: Convert to fraction form
    2,677.97/4,016.95 = 730.46/x
  3. Step 3: Cross multiply
    2,677.97x = 4,016.95 × 730.46
  4. Step 4: Simplify right side
    2,677.97x = 2,934,199.39
  5. Step 5: Solve for x
    x = 2,934,199.39/2,677.97
  6. Step 6: Final answer
    x = 1,095.68

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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.