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Finding the Fourth Proportional to 2,804.35, 4,206.98 and 1,049.97

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Solution

The fourth proportional to 2,804.35, 4,206.98 and 1,049.97 is: 1,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.35 : 4,206.98 = 1,049.97 : x
  2. Step 2: Convert to fraction form
    2,804.35/4,206.98 = 1,049.97/x
  3. Step 3: Cross multiply
    2,804.35x = 4,206.98 × 1,049.97
  4. Step 4: Simplify right side
    2,804.35x = 4,417,194.90
  5. Step 5: Solve for x
    x = 4,417,194.90/2,804.35
  6. Step 6: Final answer
    x = 1,575.13

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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.