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Finding the Fourth Proportional to 3,354.51, 5,032.77 and 1,601.74

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Solution

The fourth proportional to 3,354.51, 5,032.77 and 1,601.74 is: 2,403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.51 : 5,032.77 = 1,601.74 : x
  2. Step 2: Convert to fraction form
    3,354.51/5,032.77 = 1,601.74/x
  3. Step 3: Cross multiply
    3,354.51x = 5,032.77 × 1,601.74
  4. Step 4: Simplify right side
    3,354.51x = 8,061,155.85
  5. Step 5: Solve for x
    x = 8,061,155.85/3,354.51
  6. Step 6: Final answer
    x = 2,403.08

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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.