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Finding the Fourth Proportional to 2,309.24, 3,463.90 and 770.24

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Solution

The fourth proportional to 2,309.24, 3,463.90 and 770.24 is: 1,155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.24 : 3,463.90 = 770.24 : x
  2. Step 2: Convert to fraction form
    2,309.24/3,463.90 = 770.24/x
  3. Step 3: Cross multiply
    2,309.24x = 3,463.90 × 770.24
  4. Step 4: Simplify right side
    2,309.24x = 2,668,034.34
  5. Step 5: Solve for x
    x = 2,668,034.34/2,309.24
  6. Step 6: Final answer
    x = 1,155.37

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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.