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Finding the Fourth Proportional to 1,787.83, 2,467.19 and 991.21

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Solution

The fourth proportional to 1,787.83, 2,467.19 and 991.21 is: 1,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.83 : 2,467.19 = 991.21 : x
  2. Step 2: Convert to fraction form
    1,787.83/2,467.19 = 991.21/x
  3. Step 3: Cross multiply
    1,787.83x = 2,467.19 × 991.21
  4. Step 4: Simplify right side
    1,787.83x = 2,445,503.40
  5. Step 5: Solve for x
    x = 2,445,503.40/1,787.83
  6. Step 6: Final answer
    x = 1,367.86

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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.