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Finding the Fourth Proportional to 2,088.19, 3,132.30 and 854.74

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Solution

The fourth proportional to 2,088.19, 3,132.30 and 854.74 is: 1,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.19 : 3,132.30 = 854.74 : x
  2. Step 2: Convert to fraction form
    2,088.19/3,132.30 = 854.74/x
  3. Step 3: Cross multiply
    2,088.19x = 3,132.30 × 854.74
  4. Step 4: Simplify right side
    2,088.19x = 2,677,286.44
  5. Step 5: Solve for x
    x = 2,677,286.44/2,088.19
  6. Step 6: Final answer
    x = 1,282.11

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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.