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Finding the Fourth Proportional to 2,482.65, 3,723.98 and 841.05

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Solution

The fourth proportional to 2,482.65, 3,723.98 and 841.05 is: 1,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.65 : 3,723.98 = 841.05 : x
  2. Step 2: Convert to fraction form
    2,482.65/3,723.98 = 841.05/x
  3. Step 3: Cross multiply
    2,482.65x = 3,723.98 × 841.05
  4. Step 4: Simplify right side
    2,482.65x = 3,132,049.17
  5. Step 5: Solve for x
    x = 3,132,049.17/2,482.65
  6. Step 6: Final answer
    x = 1,261.58

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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.