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Finding the Fourth Proportional to 1,787.97, 2,466.12 and 1,197.48

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Solution

The fourth proportional to 1,787.97, 2,466.12 and 1,197.48 is: 1,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.97 : 2,466.12 = 1,197.48 : x
  2. Step 2: Convert to fraction form
    1,787.97/2,466.12 = 1,197.48/x
  3. Step 3: Cross multiply
    1,787.97x = 2,466.12 × 1,197.48
  4. Step 4: Simplify right side
    1,787.97x = 2,953,129.38
  5. Step 5: Solve for x
    x = 2,953,129.38/1,787.97
  6. Step 6: Final answer
    x = 1,651.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.