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Finding the Fourth Proportional to 1,274.65, 1,901.77 and 1,136.05

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Solution

The fourth proportional to 1,274.65, 1,901.77 and 1,136.05 is: 1,694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.65 : 1,901.77 = 1,136.05 : x
  2. Step 2: Convert to fraction form
    1,274.65/1,901.77 = 1,136.05/x
  3. Step 3: Cross multiply
    1,274.65x = 1,901.77 × 1,136.05
  4. Step 4: Simplify right side
    1,274.65x = 2,160,508.65
  5. Step 5: Solve for x
    x = 2,160,508.65/1,274.65
  6. Step 6: Final answer
    x = 1,694.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.