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Finding the Fourth Proportional to 2,297.67, 3,169.47 and 1,412.85

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Solution

The fourth proportional to 2,297.67, 3,169.47 and 1,412.85 is: 1,948.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.67 : 3,169.47 = 1,412.85 : x
  2. Step 2: Convert to fraction form
    2,297.67/3,169.47 = 1,412.85/x
  3. Step 3: Cross multiply
    2,297.67x = 3,169.47 × 1,412.85
  4. Step 4: Simplify right side
    2,297.67x = 4,477,979.10
  5. Step 5: Solve for x
    x = 4,477,979.10/2,297.67
  6. Step 6: Final answer
    x = 1,948.92

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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.