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Finding the Fourth Proportional to 2,265.15, 3,174.45 and 2,265.15

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Solution

The fourth proportional to 2,265.15, 3,174.45 and 2,265.15 is: 3,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.15 : 3,174.45 = 2,265.15 : x
  2. Step 2: Convert to fraction form
    2,265.15/3,174.45 = 2,265.15/x
  3. Step 3: Cross multiply
    2,265.15x = 3,174.45 × 2,265.15
  4. Step 4: Simplify right side
    2,265.15x = 7,190,605.42
  5. Step 5: Solve for x
    x = 7,190,605.42/2,265.15
  6. Step 6: Final answer
    x = 3,174.45

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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.