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Finding the Fourth Proportional to 1,272.84, 1,909.70 and 1,136.76

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Solution

The fourth proportional to 1,272.84, 1,909.70 and 1,136.76 is: 1,705.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.84 : 1,909.70 = 1,136.76 : x
  2. Step 2: Convert to fraction form
    1,272.84/1,909.70 = 1,136.76/x
  3. Step 3: Cross multiply
    1,272.84x = 1,909.70 × 1,136.76
  4. Step 4: Simplify right side
    1,272.84x = 2,170,870.57
  5. Step 5: Solve for x
    x = 2,170,870.57/1,272.84
  6. Step 6: Final answer
    x = 1,705.53

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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.