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Finding the Fourth Proportional to 2,869.12, 4,302.96 and 920.32

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Solution

The fourth proportional to 2,869.12, 4,302.96 and 920.32 is: 1,380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.12 : 4,302.96 = 920.32 : x
  2. Step 2: Convert to fraction form
    2,869.12/4,302.96 = 920.32/x
  3. Step 3: Cross multiply
    2,869.12x = 4,302.96 × 920.32
  4. Step 4: Simplify right side
    2,869.12x = 3,960,100.15
  5. Step 5: Solve for x
    x = 3,960,100.15/2,869.12
  6. Step 6: Final answer
    x = 1,380.25

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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.