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Finding the Fourth Proportional to 1,999.29, 2,760.27 and 1,291.50

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Solution

The fourth proportional to 1,999.29, 2,760.27 and 1,291.50 is: 1,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.29 : 2,760.27 = 1,291.50 : x
  2. Step 2: Convert to fraction form
    1,999.29/2,760.27 = 1,291.50/x
  3. Step 3: Cross multiply
    1,999.29x = 2,760.27 × 1,291.50
  4. Step 4: Simplify right side
    1,999.29x = 3,564,888.71
  5. Step 5: Solve for x
    x = 3,564,888.71/1,999.29
  6. Step 6: Final answer
    x = 1,783.08

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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.