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Finding the Fourth Proportional to 2,438.28, 3,656.77 and 683.18

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Solution

The fourth proportional to 2,438.28, 3,656.77 and 683.18 is: 1,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.28 : 3,656.77 = 683.18 : x
  2. Step 2: Convert to fraction form
    2,438.28/3,656.77 = 683.18/x
  3. Step 3: Cross multiply
    2,438.28x = 3,656.77 × 683.18
  4. Step 4: Simplify right side
    2,438.28x = 2,498,225.85
  5. Step 5: Solve for x
    x = 2,498,225.85/2,438.28
  6. Step 6: Final answer
    x = 1,024.59

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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.