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Finding the Fourth Proportional to 2,308.85, 3,462.93 and 748.99

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Solution

The fourth proportional to 2,308.85, 3,462.93 and 748.99 is: 1,123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.85 : 3,462.93 = 748.99 : x
  2. Step 2: Convert to fraction form
    2,308.85/3,462.93 = 748.99/x
  3. Step 3: Cross multiply
    2,308.85x = 3,462.93 × 748.99
  4. Step 4: Simplify right side
    2,308.85x = 2,593,699.94
  5. Step 5: Solve for x
    x = 2,593,699.94/2,308.85
  6. Step 6: Final answer
    x = 1,123.37

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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.