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Finding the Fourth Proportional to 3,301.96, 4,952.94 and 1,933

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Solution

The fourth proportional to 3,301.96, 4,952.94 and 1,933 is: 2,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.96 : 4,952.94 = 1,933 : x
  2. Step 2: Convert to fraction form
    3,301.96/4,952.94 = 1,933/x
  3. Step 3: Cross multiply
    3,301.96x = 4,952.94 × 1,933
  4. Step 4: Simplify right side
    3,301.96x = 9,574,033.02
  5. Step 5: Solve for x
    x = 9,574,033.02/3,301.96
  6. Step 6: Final answer
    x = 2,899.50

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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.