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Finding the Fourth Proportional to 1,999.14, 2,758.63 and 1,292.01

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Solution

The fourth proportional to 1,999.14, 2,758.63 and 1,292.01 is: 1,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.14 : 2,758.63 = 1,292.01 : x
  2. Step 2: Convert to fraction form
    1,999.14/2,758.63 = 1,292.01/x
  3. Step 3: Cross multiply
    1,999.14x = 2,758.63 × 1,292.01
  4. Step 4: Simplify right side
    1,999.14x = 3,564,177.55
  5. Step 5: Solve for x
    x = 3,564,177.55/1,999.14
  6. Step 6: Final answer
    x = 1,782.86

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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.