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Finding the Fourth Proportional to 7,246.53, 10,870.20 and 2,052

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Solution

The fourth proportional to 7,246.53, 10,870.20 and 2,052 is: 3,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.53 : 10,870.20 = 2,052 : x
  2. Step 2: Convert to fraction form
    7,246.53/10,870.20 = 2,052/x
  3. Step 3: Cross multiply
    7,246.53x = 10,870.20 × 2,052
  4. Step 4: Simplify right side
    7,246.53x = 22,305,650.40
  5. Step 5: Solve for x
    x = 22,305,650.40/7,246.53
  6. Step 6: Final answer
    x = 3,078.11

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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.