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Finding the Fourth Proportional to 1,817.50, 2,508.42 and 1,071.22

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Solution

The fourth proportional to 1,817.50, 2,508.42 and 1,071.22 is: 1,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.50 : 2,508.42 = 1,071.22 : x
  2. Step 2: Convert to fraction form
    1,817.50/2,508.42 = 1,071.22/x
  3. Step 3: Cross multiply
    1,817.50x = 2,508.42 × 1,071.22
  4. Step 4: Simplify right side
    1,817.50x = 2,687,069.67
  5. Step 5: Solve for x
    x = 2,687,069.67/1,817.50
  6. Step 6: Final answer
    x = 1,478.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.