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Finding the Fourth Proportional to 2,221.66, 3,332.39 and 740.78

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Solution

The fourth proportional to 2,221.66, 3,332.39 and 740.78 is: 1,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.66 : 3,332.39 = 740.78 : x
  2. Step 2: Convert to fraction form
    2,221.66/3,332.39 = 740.78/x
  3. Step 3: Cross multiply
    2,221.66x = 3,332.39 × 740.78
  4. Step 4: Simplify right side
    2,221.66x = 2,468,557.68
  5. Step 5: Solve for x
    x = 2,468,557.68/2,221.66
  6. Step 6: Final answer
    x = 1,111.13

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Double scale
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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.