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Finding the Fourth Proportional to 2,049.08, 2,828.02 and 1,164.70

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Solution

The fourth proportional to 2,049.08, 2,828.02 and 1,164.70 is: 1,607.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.08 : 2,828.02 = 1,164.70 : x
  2. Step 2: Convert to fraction form
    2,049.08/2,828.02 = 1,164.70/x
  3. Step 3: Cross multiply
    2,049.08x = 2,828.02 × 1,164.70
  4. Step 4: Simplify right side
    2,049.08x = 3,293,794.89
  5. Step 5: Solve for x
    x = 3,293,794.89/2,049.08
  6. Step 6: Final answer
    x = 1,607.45

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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.