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Finding the Fourth Proportional to 2,862.42, 3,948.92 and 1,799.45

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Solution

The fourth proportional to 2,862.42, 3,948.92 and 1,799.45 is: 2,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.42 : 3,948.92 = 1,799.45 : x
  2. Step 2: Convert to fraction form
    2,862.42/3,948.92 = 1,799.45/x
  3. Step 3: Cross multiply
    2,862.42x = 3,948.92 × 1,799.45
  4. Step 4: Simplify right side
    2,862.42x = 7,105,855.35
  5. Step 5: Solve for x
    x = 7,105,855.35/2,862.42
  6. Step 6: Final answer
    x = 2,482.46

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