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Finding the Fourth Proportional to 1,588.86, 2,192.85 and 959.45

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Solution

The fourth proportional to 1,588.86, 2,192.85 and 959.45 is: 1,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.86 : 2,192.85 = 959.45 : x
  2. Step 2: Convert to fraction form
    1,588.86/2,192.85 = 959.45/x
  3. Step 3: Cross multiply
    1,588.86x = 2,192.85 × 959.45
  4. Step 4: Simplify right side
    1,588.86x = 2,103,918.97
  5. Step 5: Solve for x
    x = 2,103,918.97/1,588.86
  6. Step 6: Final answer
    x = 1,324.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.