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Finding the Fourth Proportional to 3,246.87, 4,870.65 and 1,601.84

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Solution

The fourth proportional to 3,246.87, 4,870.65 and 1,601.84 is: 2,402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.87 : 4,870.65 = 1,601.84 : x
  2. Step 2: Convert to fraction form
    3,246.87/4,870.65 = 1,601.84/x
  3. Step 3: Cross multiply
    3,246.87x = 4,870.65 × 1,601.84
  4. Step 4: Simplify right side
    3,246.87x = 7,802,002.00
  5. Step 5: Solve for x
    x = 7,802,002.00/3,246.87
  6. Step 6: Final answer
    x = 2,402.93

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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.