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Finding the Fourth Proportional to 1,902.90, 2,854.35 and 1,685.30

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Solution

The fourth proportional to 1,902.90, 2,854.35 and 1,685.30 is: 2,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.90 : 2,854.35 = 1,685.30 : x
  2. Step 2: Convert to fraction form
    1,902.90/2,854.35 = 1,685.30/x
  3. Step 3: Cross multiply
    1,902.90x = 2,854.35 × 1,685.30
  4. Step 4: Simplify right side
    1,902.90x = 4,810,436.06
  5. Step 5: Solve for x
    x = 4,810,436.06/1,902.90
  6. Step 6: Final answer
    x = 2,527.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.