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Finding the Fourth Proportional to 1,799.68, 2,483.46 and 1,013.78

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Solution

The fourth proportional to 1,799.68, 2,483.46 and 1,013.78 is: 1,398.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.68 : 2,483.46 = 1,013.78 : x
  2. Step 2: Convert to fraction form
    1,799.68/2,483.46 = 1,013.78/x
  3. Step 3: Cross multiply
    1,799.68x = 2,483.46 × 1,013.78
  4. Step 4: Simplify right side
    1,799.68x = 2,517,682.08
  5. Step 5: Solve for x
    x = 2,517,682.08/1,799.68
  6. Step 6: Final answer
    x = 1,398.96

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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.