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Finding the Fourth Proportional to 1,226.76, 1,831.20 and 1,136.52

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Solution

The fourth proportional to 1,226.76, 1,831.20 and 1,136.52 is: 1,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.76 : 1,831.20 = 1,136.52 : x
  2. Step 2: Convert to fraction form
    1,226.76/1,831.20 = 1,136.52/x
  3. Step 3: Cross multiply
    1,226.76x = 1,831.20 × 1,136.52
  4. Step 4: Simplify right side
    1,226.76x = 2,081,195.42
  5. Step 5: Solve for x
    x = 2,081,195.42/1,226.76
  6. Step 6: Final answer
    x = 1,696.50

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Why These Related Problems?

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