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Finding the Fourth Proportional to 3,482.32, 4,804.86 and 2,065.96

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Solution

The fourth proportional to 3,482.32, 4,804.86 and 2,065.96 is: 2,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.32 : 4,804.86 = 2,065.96 : x
  2. Step 2: Convert to fraction form
    3,482.32/4,804.86 = 2,065.96/x
  3. Step 3: Cross multiply
    3,482.32x = 4,804.86 × 2,065.96
  4. Step 4: Simplify right side
    3,482.32x = 9,926,648.57
  5. Step 5: Solve for x
    x = 9,926,648.57/3,482.32
  6. Step 6: Final answer
    x = 2,850.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.