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Finding the Fourth Proportional to 1,691.75, 2,538.14 and 802.96

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Solution

The fourth proportional to 1,691.75, 2,538.14 and 802.96 is: 1,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.75 : 2,538.14 = 802.96 : x
  2. Step 2: Convert to fraction form
    1,691.75/2,538.14 = 802.96/x
  3. Step 3: Cross multiply
    1,691.75x = 2,538.14 × 802.96
  4. Step 4: Simplify right side
    1,691.75x = 2,038,020.88
  5. Step 5: Solve for x
    x = 2,038,020.88/1,691.75
  6. Step 6: Final answer
    x = 1,204.69

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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.