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Finding the Fourth Proportional to 3,179.36, 4,767.50 and 988.32

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Solution

The fourth proportional to 3,179.36, 4,767.50 and 988.32 is: 1,482.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.36 : 4,767.50 = 988.32 : x
  2. Step 2: Convert to fraction form
    3,179.36/4,767.50 = 988.32/x
  3. Step 3: Cross multiply
    3,179.36x = 4,767.50 × 988.32
  4. Step 4: Simplify right side
    3,179.36x = 4,711,815.60
  5. Step 5: Solve for x
    x = 4,711,815.60/3,179.36
  6. Step 6: Final answer
    x = 1,482.00

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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.