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Finding the Fourth Proportional to 2,867.70, 4,306.83 and 1,720.50

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Solution

The fourth proportional to 2,867.70, 4,306.83 and 1,720.50 is: 2,583.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.70 : 4,306.83 = 1,720.50 : x
  2. Step 2: Convert to fraction form
    2,867.70/4,306.83 = 1,720.50/x
  3. Step 3: Cross multiply
    2,867.70x = 4,306.83 × 1,720.50
  4. Step 4: Simplify right side
    2,867.70x = 7,409,901.02
  5. Step 5: Solve for x
    x = 7,409,901.02/2,867.70
  6. Step 6: Final answer
    x = 2,583.92

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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.