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Finding the Fourth Proportional to 3,281.65, 4,922.01 and 941.86

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Solution

The fourth proportional to 3,281.65, 4,922.01 and 941.86 is: 1,412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.65 : 4,922.01 = 941.86 : x
  2. Step 2: Convert to fraction form
    3,281.65/4,922.01 = 941.86/x
  3. Step 3: Cross multiply
    3,281.65x = 4,922.01 × 941.86
  4. Step 4: Simplify right side
    3,281.65x = 4,635,844.34
  5. Step 5: Solve for x
    x = 4,635,844.34/3,281.65
  6. Step 6: Final answer
    x = 1,412.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.