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Finding the Fourth Proportional to 1,216.76, 1,816.32 and 1,126.52

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Solution

The fourth proportional to 1,216.76, 1,816.32 and 1,126.52 is: 1,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.76 : 1,816.32 = 1,126.52 : x
  2. Step 2: Convert to fraction form
    1,216.76/1,816.32 = 1,126.52/x
  3. Step 3: Cross multiply
    1,216.76x = 1,816.32 × 1,126.52
  4. Step 4: Simplify right side
    1,216.76x = 2,046,120.81
  5. Step 5: Solve for x
    x = 2,046,120.81/1,216.76
  6. Step 6: Final answer
    x = 1,681.61

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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.