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Finding the Fourth Proportional to 1,831.68, 2,727.47 and 1,805.49

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Solution

The fourth proportional to 1,831.68, 2,727.47 and 1,805.49 is: 2,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.68 : 2,727.47 = 1,805.49 : x
  2. Step 2: Convert to fraction form
    1,831.68/2,727.47 = 1,805.49/x
  3. Step 3: Cross multiply
    1,831.68x = 2,727.47 × 1,805.49
  4. Step 4: Simplify right side
    1,831.68x = 4,924,424.32
  5. Step 5: Solve for x
    x = 4,924,424.32/1,831.68
  6. Step 6: Final answer
    x = 2,688.47

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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.