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Finding the Fourth Proportional to 2,808.90, 3,876.57 and 1,690.20

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Solution

The fourth proportional to 2,808.90, 3,876.57 and 1,690.20 is: 2,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.90 : 3,876.57 = 1,690.20 : x
  2. Step 2: Convert to fraction form
    2,808.90/3,876.57 = 1,690.20/x
  3. Step 3: Cross multiply
    2,808.90x = 3,876.57 × 1,690.20
  4. Step 4: Simplify right side
    2,808.90x = 6,552,178.61
  5. Step 5: Solve for x
    x = 6,552,178.61/2,808.90
  6. Step 6: Final answer
    x = 2,332.65

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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.