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Finding the Fourth Proportional to 2,304.71, 3,453.77 and 986.64

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Solution

The fourth proportional to 2,304.71, 3,453.77 and 986.64 is: 1,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.71 : 3,453.77 = 986.64 : x
  2. Step 2: Convert to fraction form
    2,304.71/3,453.77 = 986.64/x
  3. Step 3: Cross multiply
    2,304.71x = 3,453.77 × 986.64
  4. Step 4: Simplify right side
    2,304.71x = 3,407,617.15
  5. Step 5: Solve for x
    x = 3,407,617.15/2,304.71
  6. Step 6: Final answer
    x = 1,478.55

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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.