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Finding the Fourth Proportional to 2,030.74, 2,799.84 and 1,675.42

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Solution

The fourth proportional to 2,030.74, 2,799.84 and 1,675.42 is: 2,309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.74 : 2,799.84 = 1,675.42 : x
  2. Step 2: Convert to fraction form
    2,030.74/2,799.84 = 1,675.42/x
  3. Step 3: Cross multiply
    2,030.74x = 2,799.84 × 1,675.42
  4. Step 4: Simplify right side
    2,030.74x = 4,690,907.93
  5. Step 5: Solve for x
    x = 4,690,907.93/2,030.74
  6. Step 6: Final answer
    x = 2,309.95

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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.