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Finding the Fourth Proportional to 2,284.85, 3,427.47 and 641.42

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Solution

The fourth proportional to 2,284.85, 3,427.47 and 641.42 is: 962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.85 : 3,427.47 = 641.42 : x
  2. Step 2: Convert to fraction form
    2,284.85/3,427.47 = 641.42/x
  3. Step 3: Cross multiply
    2,284.85x = 3,427.47 × 641.42
  4. Step 4: Simplify right side
    2,284.85x = 2,198,430.67
  5. Step 5: Solve for x
    x = 2,198,430.67/2,284.85
  6. Step 6: Final answer
    x = 962.18

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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.