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Finding the Fourth Proportional to 2,084.13, 3,127.01 and 1,262.99

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Solution

The fourth proportional to 2,084.13, 3,127.01 and 1,262.99 is: 1,894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.13 : 3,127.01 = 1,262.99 : x
  2. Step 2: Convert to fraction form
    2,084.13/3,127.01 = 1,262.99/x
  3. Step 3: Cross multiply
    2,084.13x = 3,127.01 × 1,262.99
  4. Step 4: Simplify right side
    2,084.13x = 3,949,383.86
  5. Step 5: Solve for x
    x = 3,949,383.86/2,084.13
  6. Step 6: Final answer
    x = 1,894.98

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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.