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Finding the Fourth Proportional to 2,840, 4,260.72 and 1,085.72

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Solution

The fourth proportional to 2,840, 4,260.72 and 1,085.72 is: 1,628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840 : 4,260.72 = 1,085.72 : x
  2. Step 2: Convert to fraction form
    2,840/4,260.72 = 1,085.72/x
  3. Step 3: Cross multiply
    2,840x = 4,260.72 × 1,085.72
  4. Step 4: Simplify right side
    2,840x = 4,625,948.92
  5. Step 5: Solve for x
    x = 4,625,948.92/2,840
  6. Step 6: Final answer
    x = 1,628.86

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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.