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Finding the Fourth Proportional to 2,438.04, 3,656.98 and 683.04

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Solution

The fourth proportional to 2,438.04, 3,656.98 and 683.04 is: 1,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.04 : 3,656.98 = 683.04 : x
  2. Step 2: Convert to fraction form
    2,438.04/3,656.98 = 683.04/x
  3. Step 3: Cross multiply
    2,438.04x = 3,656.98 × 683.04
  4. Step 4: Simplify right side
    2,438.04x = 2,497,863.62
  5. Step 5: Solve for x
    x = 2,497,863.62/2,438.04
  6. Step 6: Final answer
    x = 1,024.54

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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.