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Finding the Fourth Proportional to 3,053.66, 4,214.19 and 1,794.78

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Solution

The fourth proportional to 3,053.66, 4,214.19 and 1,794.78 is: 2,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.66 : 4,214.19 = 1,794.78 : x
  2. Step 2: Convert to fraction form
    3,053.66/4,214.19 = 1,794.78/x
  3. Step 3: Cross multiply
    3,053.66x = 4,214.19 × 1,794.78
  4. Step 4: Simplify right side
    3,053.66x = 7,563,543.93
  5. Step 5: Solve for x
    x = 7,563,543.93/3,053.66
  6. Step 6: Final answer
    x = 2,476.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.