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Finding the Fourth Proportional to 1,787.87, 2,683.63 and 814.66

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Solution

The fourth proportional to 1,787.87, 2,683.63 and 814.66 is: 1,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.87 : 2,683.63 = 814.66 : x
  2. Step 2: Convert to fraction form
    1,787.87/2,683.63 = 814.66/x
  3. Step 3: Cross multiply
    1,787.87x = 2,683.63 × 814.66
  4. Step 4: Simplify right side
    1,787.87x = 2,186,240.33
  5. Step 5: Solve for x
    x = 2,186,240.33/1,787.87
  6. Step 6: Final answer
    x = 1,222.82

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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.