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Finding the Fourth Proportional to 3,318.19, 4,978.00 and 1,009.63

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Solution

The fourth proportional to 3,318.19, 4,978.00 and 1,009.63 is: 1,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.19 : 4,978.00 = 1,009.63 : x
  2. Step 2: Convert to fraction form
    3,318.19/4,978.00 = 1,009.63/x
  3. Step 3: Cross multiply
    3,318.19x = 4,978.00 × 1,009.63
  4. Step 4: Simplify right side
    3,318.19x = 5,025,910.73
  5. Step 5: Solve for x
    x = 5,025,910.73/3,318.19
  6. Step 6: Final answer
    x = 1,514.66

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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.