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Finding the Fourth Proportional to 2,804.34, 4,205.52 and 1,160.16

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Solution

The fourth proportional to 2,804.34, 4,205.52 and 1,160.16 is: 1,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.34 : 4,205.52 = 1,160.16 : x
  2. Step 2: Convert to fraction form
    2,804.34/4,205.52 = 1,160.16/x
  3. Step 3: Cross multiply
    2,804.34x = 4,205.52 × 1,160.16
  4. Step 4: Simplify right side
    2,804.34x = 4,879,076.08
  5. Step 5: Solve for x
    x = 4,879,076.08/2,804.34
  6. Step 6: Final answer
    x = 1,739.83

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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.