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Finding the Fourth Proportional to 2,079.73, 3,118.73 and 846.30

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Solution

The fourth proportional to 2,079.73, 3,118.73 and 846.30 is: 1,269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.73 : 3,118.73 = 846.30 : x
  2. Step 2: Convert to fraction form
    2,079.73/3,118.73 = 846.30/x
  3. Step 3: Cross multiply
    2,079.73x = 3,118.73 × 846.30
  4. Step 4: Simplify right side
    2,079.73x = 2,639,373.50
  5. Step 5: Solve for x
    x = 2,639,373.50/2,079.73
  6. Step 6: Final answer
    x = 1,269.10

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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.