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Finding the Fourth Proportional to 1,799.14, 2,482.86 and 1,013.14

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Solution

The fourth proportional to 1,799.14, 2,482.86 and 1,013.14 is: 1,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.14 : 2,482.86 = 1,013.14 : x
  2. Step 2: Convert to fraction form
    1,799.14/2,482.86 = 1,013.14/x
  3. Step 3: Cross multiply
    1,799.14x = 2,482.86 × 1,013.14
  4. Step 4: Simplify right side
    1,799.14x = 2,515,484.78
  5. Step 5: Solve for x
    x = 2,515,484.78/1,799.14
  6. Step 6: Final answer
    x = 1,398.16

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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.