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Finding the Fourth Proportional to 2,817.59, 4,224.63 and 1,085.81

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Solution

The fourth proportional to 2,817.59, 4,224.63 and 1,085.81 is: 1,628.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.59 : 4,224.63 = 1,085.81 : x
  2. Step 2: Convert to fraction form
    2,817.59/4,224.63 = 1,085.81/x
  3. Step 3: Cross multiply
    2,817.59x = 4,224.63 × 1,085.81
  4. Step 4: Simplify right side
    2,817.59x = 4,587,145.50
  5. Step 5: Solve for x
    x = 4,587,145.50/2,817.59
  6. Step 6: Final answer
    x = 1,628.04

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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.