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Finding the Fourth Proportional to 2,815.36, 4,223.10 and 867.57

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Solution

The fourth proportional to 2,815.36, 4,223.10 and 867.57 is: 1,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.36 : 4,223.10 = 867.57 : x
  2. Step 2: Convert to fraction form
    2,815.36/4,223.10 = 867.57/x
  3. Step 3: Cross multiply
    2,815.36x = 4,223.10 × 867.57
  4. Step 4: Simplify right side
    2,815.36x = 3,663,809.41
  5. Step 5: Solve for x
    x = 3,663,809.41/2,815.36
  6. Step 6: Final answer
    x = 1,301.36

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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.