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Finding the Fourth Proportional to 1,887.94, 2,831.68 and 1,009.51

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Solution

The fourth proportional to 1,887.94, 2,831.68 and 1,009.51 is: 1,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.94 : 2,831.68 = 1,009.51 : x
  2. Step 2: Convert to fraction form
    1,887.94/2,831.68 = 1,009.51/x
  3. Step 3: Cross multiply
    1,887.94x = 2,831.68 × 1,009.51
  4. Step 4: Simplify right side
    1,887.94x = 2,858,604.23
  5. Step 5: Solve for x
    x = 2,858,604.23/1,887.94
  6. Step 6: Final answer
    x = 1,514.14

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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.