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Finding the Fourth Proportional to 2,438.30, 3,657.48 and 879.42

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Solution

The fourth proportional to 2,438.30, 3,657.48 and 879.42 is: 1,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.30 : 3,657.48 = 879.42 : x
  2. Step 2: Convert to fraction form
    2,438.30/3,657.48 = 879.42/x
  3. Step 3: Cross multiply
    2,438.30x = 3,657.48 × 879.42
  4. Step 4: Simplify right side
    2,438.30x = 3,216,461.06
  5. Step 5: Solve for x
    x = 3,216,461.06/2,438.30
  6. Step 6: Final answer
    x = 1,319.14

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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.