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Finding the Fourth Proportional to 2,162.46, 2,980.89 and 2,074.98

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Solution

The fourth proportional to 2,162.46, 2,980.89 and 2,074.98 is: 2,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.46 : 2,980.89 = 2,074.98 : x
  2. Step 2: Convert to fraction form
    2,162.46/2,980.89 = 2,074.98/x
  3. Step 3: Cross multiply
    2,162.46x = 2,980.89 × 2,074.98
  4. Step 4: Simplify right side
    2,162.46x = 6,185,287.13
  5. Step 5: Solve for x
    x = 6,185,287.13/2,162.46
  6. Step 6: Final answer
    x = 2,860.30

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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.