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Finding the Fourth Proportional to 1,887.89, 2,831.84 and 900.78

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Solution

The fourth proportional to 1,887.89, 2,831.84 and 900.78 is: 1,351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.89 : 2,831.84 = 900.78 : x
  2. Step 2: Convert to fraction form
    1,887.89/2,831.84 = 900.78/x
  3. Step 3: Cross multiply
    1,887.89x = 2,831.84 × 900.78
  4. Step 4: Simplify right side
    1,887.89x = 2,550,860.33
  5. Step 5: Solve for x
    x = 2,550,860.33/1,887.89
  6. Step 6: Final answer
    x = 1,351.17

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