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Finding the Fourth Proportional to 1,948.55, 2,685.92 and 1,787.67

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Solution

The fourth proportional to 1,948.55, 2,685.92 and 1,787.67 is: 2,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.55 : 2,685.92 = 1,787.67 : x
  2. Step 2: Convert to fraction form
    1,948.55/2,685.92 = 1,787.67/x
  3. Step 3: Cross multiply
    1,948.55x = 2,685.92 × 1,787.67
  4. Step 4: Simplify right side
    1,948.55x = 4,801,516.24
  5. Step 5: Solve for x
    x = 4,801,516.24/1,948.55
  6. Step 6: Final answer
    x = 2,464.15

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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.