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Finding the Fourth Proportional to 1,888, 2,831.90 and 571.68

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Solution

The fourth proportional to 1,888, 2,831.90 and 571.68 is: 857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888 : 2,831.90 = 571.68 : x
  2. Step 2: Convert to fraction form
    1,888/2,831.90 = 571.68/x
  3. Step 3: Cross multiply
    1,888x = 2,831.90 × 571.68
  4. Step 4: Simplify right side
    1,888x = 1,618,940.59
  5. Step 5: Solve for x
    x = 1,618,940.59/1,888
  6. Step 6: Final answer
    x = 857.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.