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Finding the Fourth Proportional to 2,335.53, 3,501.77 and 1,638.32

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Solution

The fourth proportional to 2,335.53, 3,501.77 and 1,638.32 is: 2,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.53 : 3,501.77 = 1,638.32 : x
  2. Step 2: Convert to fraction form
    2,335.53/3,501.77 = 1,638.32/x
  3. Step 3: Cross multiply
    2,335.53x = 3,501.77 × 1,638.32
  4. Step 4: Simplify right side
    2,335.53x = 5,737,019.83
  5. Step 5: Solve for x
    x = 5,737,019.83/2,335.53
  6. Step 6: Final answer
    x = 2,456.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.