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Finding the Fourth Proportional to 2,317.80, 3,251.40 and 2,317.80

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Solution

The fourth proportional to 2,317.80, 3,251.40 and 2,317.80 is: 3,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.80 : 3,251.40 = 2,317.80 : x
  2. Step 2: Convert to fraction form
    2,317.80/3,251.40 = 2,317.80/x
  3. Step 3: Cross multiply
    2,317.80x = 3,251.40 × 2,317.80
  4. Step 4: Simplify right side
    2,317.80x = 7,536,094.92
  5. Step 5: Solve for x
    x = 7,536,094.92/2,317.80
  6. Step 6: Final answer
    x = 3,251.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.