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Finding the Fourth Proportional to 2,005.63, 3,005.03 and 1,127.79

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Solution

The fourth proportional to 2,005.63, 3,005.03 and 1,127.79 is: 1,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.63 : 3,005.03 = 1,127.79 : x
  2. Step 2: Convert to fraction form
    2,005.63/3,005.03 = 1,127.79/x
  3. Step 3: Cross multiply
    2,005.63x = 3,005.03 × 1,127.79
  4. Step 4: Simplify right side
    2,005.63x = 3,389,042.78
  5. Step 5: Solve for x
    x = 3,389,042.78/2,005.63
  6. Step 6: Final answer
    x = 1,689.76

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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.