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Finding the Fourth Proportional to 1,695.44, 2,543.16 and 1,310.96

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Solution

The fourth proportional to 1,695.44, 2,543.16 and 1,310.96 is: 1,966.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.44 : 2,543.16 = 1,310.96 : x
  2. Step 2: Convert to fraction form
    1,695.44/2,543.16 = 1,310.96/x
  3. Step 3: Cross multiply
    1,695.44x = 2,543.16 × 1,310.96
  4. Step 4: Simplify right side
    1,695.44x = 3,333,981.03
  5. Step 5: Solve for x
    x = 3,333,981.03/1,695.44
  6. Step 6: Final answer
    x = 1,966.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.