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Finding the Fourth Proportional to 2,684.34, 4,024.08 and 951.75

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Solution

The fourth proportional to 2,684.34, 4,024.08 and 951.75 is: 1,426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.34 : 4,024.08 = 951.75 : x
  2. Step 2: Convert to fraction form
    2,684.34/4,024.08 = 951.75/x
  3. Step 3: Cross multiply
    2,684.34x = 4,024.08 × 951.75
  4. Step 4: Simplify right side
    2,684.34x = 3,829,918.14
  5. Step 5: Solve for x
    x = 3,829,918.14/2,684.34
  6. Step 6: Final answer
    x = 1,426.76

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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.