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Finding the Fourth Proportional to 2,277.90, 3,197.70 and 2,277.90

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Solution

The fourth proportional to 2,277.90, 3,197.70 and 2,277.90 is: 3,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.90 : 3,197.70 = 2,277.90 : x
  2. Step 2: Convert to fraction form
    2,277.90/3,197.70 = 2,277.90/x
  3. Step 3: Cross multiply
    2,277.90x = 3,197.70 × 2,277.90
  4. Step 4: Simplify right side
    2,277.90x = 7,284,040.83
  5. Step 5: Solve for x
    x = 7,284,040.83/2,277.90
  6. Step 6: Final answer
    x = 3,197.70

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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.