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Finding the Fourth Proportional to 2,826.84, 4,242.03 and 1,095.46

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Solution

The fourth proportional to 2,826.84, 4,242.03 and 1,095.46 is: 1,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.84 : 4,242.03 = 1,095.46 : x
  2. Step 2: Convert to fraction form
    2,826.84/4,242.03 = 1,095.46/x
  3. Step 3: Cross multiply
    2,826.84x = 4,242.03 × 1,095.46
  4. Step 4: Simplify right side
    2,826.84x = 4,646,974.18
  5. Step 5: Solve for x
    x = 4,646,974.18/2,826.84
  6. Step 6: Final answer
    x = 1,643.88

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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.