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Finding the Fourth Proportional to 2,006.47, 2,768.95 and 1,122.32

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Solution

The fourth proportional to 2,006.47, 2,768.95 and 1,122.32 is: 1,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.47 : 2,768.95 = 1,122.32 : x
  2. Step 2: Convert to fraction form
    2,006.47/2,768.95 = 1,122.32/x
  3. Step 3: Cross multiply
    2,006.47x = 2,768.95 × 1,122.32
  4. Step 4: Simplify right side
    2,006.47x = 3,107,656.29
  5. Step 5: Solve for x
    x = 3,107,656.29/2,006.47
  6. Step 6: Final answer
    x = 1,548.82

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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.