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Finding the Fourth Proportional to 2,291.32, 3,434.92 and 830.14

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Solution

The fourth proportional to 2,291.32, 3,434.92 and 830.14 is: 1,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.32 : 3,434.92 = 830.14 : x
  2. Step 2: Convert to fraction form
    2,291.32/3,434.92 = 830.14/x
  3. Step 3: Cross multiply
    2,291.32x = 3,434.92 × 830.14
  4. Step 4: Simplify right side
    2,291.32x = 2,851,464.49
  5. Step 5: Solve for x
    x = 2,851,464.49/2,291.32
  6. Step 6: Final answer
    x = 1,244.46

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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.