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Finding the Fourth Proportional to 2,306.33, 3,459.48 and 574.95

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Solution

The fourth proportional to 2,306.33, 3,459.48 and 574.95 is: 862.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.33 : 3,459.48 = 574.95 : x
  2. Step 2: Convert to fraction form
    2,306.33/3,459.48 = 574.95/x
  3. Step 3: Cross multiply
    2,306.33x = 3,459.48 × 574.95
  4. Step 4: Simplify right side
    2,306.33x = 1,989,028.03
  5. Step 5: Solve for x
    x = 1,989,028.03/2,306.33
  6. Step 6: Final answer
    x = 862.42

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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.