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Finding the Fourth Proportional to 3,281.62, 4,921.59 and 941.65

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Solution

The fourth proportional to 3,281.62, 4,921.59 and 941.65 is: 1,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.62 : 4,921.59 = 941.65 : x
  2. Step 2: Convert to fraction form
    3,281.62/4,921.59 = 941.65/x
  3. Step 3: Cross multiply
    3,281.62x = 4,921.59 × 941.65
  4. Step 4: Simplify right side
    3,281.62x = 4,634,415.22
  5. Step 5: Solve for x
    x = 4,634,415.22/3,281.62
  6. Step 6: Final answer
    x = 1,412.23

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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.