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Finding the Fourth Proportional to 2,174.39, 3,260.76 and 787.32

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Solution

The fourth proportional to 2,174.39, 3,260.76 and 787.32 is: 1,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.39 : 3,260.76 = 787.32 : x
  2. Step 2: Convert to fraction form
    2,174.39/3,260.76 = 787.32/x
  3. Step 3: Cross multiply
    2,174.39x = 3,260.76 × 787.32
  4. Step 4: Simplify right side
    2,174.39x = 2,567,258.61
  5. Step 5: Solve for x
    x = 2,567,258.61/2,174.39
  6. Step 6: Final answer
    x = 1,180.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.