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Finding the Fourth Proportional to 2,870.14, 4,305.75 and 922.18

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Solution

The fourth proportional to 2,870.14, 4,305.75 and 922.18 is: 1,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.14 : 4,305.75 = 922.18 : x
  2. Step 2: Convert to fraction form
    2,870.14/4,305.75 = 922.18/x
  3. Step 3: Cross multiply
    2,870.14x = 4,305.75 × 922.18
  4. Step 4: Simplify right side
    2,870.14x = 3,970,676.54
  5. Step 5: Solve for x
    x = 3,970,676.54/2,870.14
  6. Step 6: Final answer
    x = 1,383.44

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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.