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Finding the Fourth Proportional to 2,306.83, 3,460.23 and 575.46

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Solution

The fourth proportional to 2,306.83, 3,460.23 and 575.46 is: 863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.83 : 3,460.23 = 575.46 : x
  2. Step 2: Convert to fraction form
    2,306.83/3,460.23 = 575.46/x
  3. Step 3: Cross multiply
    2,306.83x = 3,460.23 × 575.46
  4. Step 4: Simplify right side
    2,306.83x = 1,991,223.96
  5. Step 5: Solve for x
    x = 1,991,223.96/2,306.83
  6. Step 6: Final answer
    x = 863.19

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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.