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Finding the Fourth Proportional to 3,178.02, 4,767.56 and 986.31

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Solution

The fourth proportional to 3,178.02, 4,767.56 and 986.31 is: 1,479.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.02 : 4,767.56 = 986.31 : x
  2. Step 2: Convert to fraction form
    3,178.02/4,767.56 = 986.31/x
  3. Step 3: Cross multiply
    3,178.02x = 4,767.56 × 986.31
  4. Step 4: Simplify right side
    3,178.02x = 4,702,292.10
  5. Step 5: Solve for x
    x = 4,702,292.10/3,178.02
  6. Step 6: Final answer
    x = 1,479.63

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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.