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Finding the Fourth Proportional to 2,049.84, 3,071.93 and 1,124.28

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Solution

The fourth proportional to 2,049.84, 3,071.93 and 1,124.28 is: 1,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.84 : 3,071.93 = 1,124.28 : x
  2. Step 2: Convert to fraction form
    2,049.84/3,071.93 = 1,124.28/x
  3. Step 3: Cross multiply
    2,049.84x = 3,071.93 × 1,124.28
  4. Step 4: Simplify right side
    2,049.84x = 3,453,703.84
  5. Step 5: Solve for x
    x = 3,453,703.84/2,049.84
  6. Step 6: Final answer
    x = 1,684.87

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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.