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Finding the Fourth Proportional to 3,281.64, 4,923.06 and 941.58

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Solution

The fourth proportional to 3,281.64, 4,923.06 and 941.58 is: 1,412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.64 : 4,923.06 = 941.58 : x
  2. Step 2: Convert to fraction form
    3,281.64/4,923.06 = 941.58/x
  3. Step 3: Cross multiply
    3,281.64x = 4,923.06 × 941.58
  4. Step 4: Simplify right side
    3,281.64x = 4,635,454.83
  5. Step 5: Solve for x
    x = 4,635,454.83/3,281.64
  6. Step 6: Final answer
    x = 1,412.54

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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.