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Finding the Fourth Proportional to 2,005.13, 2,767.02 and 1,165.87

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Solution

The fourth proportional to 2,005.13, 2,767.02 and 1,165.87 is: 1,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.13 : 2,767.02 = 1,165.87 : x
  2. Step 2: Convert to fraction form
    2,005.13/2,767.02 = 1,165.87/x
  3. Step 3: Cross multiply
    2,005.13x = 2,767.02 × 1,165.87
  4. Step 4: Simplify right side
    2,005.13x = 3,225,985.61
  5. Step 5: Solve for x
    x = 3,225,985.61/2,005.13
  6. Step 6: Final answer
    x = 1,608.87

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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.