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Finding the Fourth Proportional to 1,909.76, 2,634.78 and 1,351.16

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Solution

The fourth proportional to 1,909.76, 2,634.78 and 1,351.16 is: 1,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.76 : 2,634.78 = 1,351.16 : x
  2. Step 2: Convert to fraction form
    1,909.76/2,634.78 = 1,351.16/x
  3. Step 3: Cross multiply
    1,909.76x = 2,634.78 × 1,351.16
  4. Step 4: Simplify right side
    1,909.76x = 3,560,009.34
  5. Step 5: Solve for x
    x = 3,560,009.34/1,909.76
  6. Step 6: Final answer
    x = 1,864.11

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