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Finding the Fourth Proportional to 1,364.71, 2,036.51 and 1,217.27

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Solution

The fourth proportional to 1,364.71, 2,036.51 and 1,217.27 is: 1,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.71 : 2,036.51 = 1,217.27 : x
  2. Step 2: Convert to fraction form
    1,364.71/2,036.51 = 1,217.27/x
  3. Step 3: Cross multiply
    1,364.71x = 2,036.51 × 1,217.27
  4. Step 4: Simplify right side
    1,364.71x = 2,478,976.44
  5. Step 5: Solve for x
    x = 2,478,976.44/1,364.71
  6. Step 6: Final answer
    x = 1,816.49

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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.