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Finding the Fourth Proportional to 2,804.10, 4,205.67 and 1,049.93

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Solution

The fourth proportional to 2,804.10, 4,205.67 and 1,049.93 is: 1,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.10 : 4,205.67 = 1,049.93 : x
  2. Step 2: Convert to fraction form
    2,804.10/4,205.67 = 1,049.93/x
  3. Step 3: Cross multiply
    2,804.10x = 4,205.67 × 1,049.93
  4. Step 4: Simplify right side
    2,804.10x = 4,415,659.10
  5. Step 5: Solve for x
    x = 4,415,659.10/2,804.10
  6. Step 6: Final answer
    x = 1,574.72

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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.