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Finding the Fourth Proportional to 2,804.58, 4,205.30 and 1,162.31

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Solution

The fourth proportional to 2,804.58, 4,205.30 and 1,162.31 is: 1,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.58 : 4,205.30 = 1,162.31 : x
  2. Step 2: Convert to fraction form
    2,804.58/4,205.30 = 1,162.31/x
  3. Step 3: Cross multiply
    2,804.58x = 4,205.30 × 1,162.31
  4. Step 4: Simplify right side
    2,804.58x = 4,887,835.40
  5. Step 5: Solve for x
    x = 4,887,835.40/2,804.58
  6. Step 6: Final answer
    x = 1,742.80

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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.