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Finding the Fourth Proportional to 1,878.24, 2,817.18 and 838.28

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Solution

The fourth proportional to 1,878.24, 2,817.18 and 838.28 is: 1,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.24 : 2,817.18 = 838.28 : x
  2. Step 2: Convert to fraction form
    1,878.24/2,817.18 = 838.28/x
  3. Step 3: Cross multiply
    1,878.24x = 2,817.18 × 838.28
  4. Step 4: Simplify right side
    1,878.24x = 2,361,585.65
  5. Step 5: Solve for x
    x = 2,361,585.65/1,878.24
  6. Step 6: Final answer
    x = 1,257.34

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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.