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Finding the Fourth Proportional to 3,266.34, 4,899.50 and 1,318.52

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Solution

The fourth proportional to 3,266.34, 4,899.50 and 1,318.52 is: 1,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.34 : 4,899.50 = 1,318.52 : x
  2. Step 2: Convert to fraction form
    3,266.34/4,899.50 = 1,318.52/x
  3. Step 3: Cross multiply
    3,266.34x = 4,899.50 × 1,318.52
  4. Step 4: Simplify right side
    3,266.34x = 6,460,088.74
  5. Step 5: Solve for x
    x = 6,460,088.74/3,266.34
  6. Step 6: Final answer
    x = 1,977.78

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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.