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Finding the Fourth Proportional to 1,803.42, 2,689.65 and 1,766.88

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Solution

The fourth proportional to 1,803.42, 2,689.65 and 1,766.88 is: 2,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.42 : 2,689.65 = 1,766.88 : x
  2. Step 2: Convert to fraction form
    1,803.42/2,689.65 = 1,766.88/x
  3. Step 3: Cross multiply
    1,803.42x = 2,689.65 × 1,766.88
  4. Step 4: Simplify right side
    1,803.42x = 4,752,288.79
  5. Step 5: Solve for x
    x = 4,752,288.79/1,803.42
  6. Step 6: Final answer
    x = 2,635.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.