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Finding the Fourth Proportional to 3,801.73, 5,703.35 and 1,610.46

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Solution

The fourth proportional to 3,801.73, 5,703.35 and 1,610.46 is: 2,416.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.73 : 5,703.35 = 1,610.46 : x
  2. Step 2: Convert to fraction form
    3,801.73/5,703.35 = 1,610.46/x
  3. Step 3: Cross multiply
    3,801.73x = 5,703.35 × 1,610.46
  4. Step 4: Simplify right side
    3,801.73x = 9,185,017.04
  5. Step 5: Solve for x
    x = 9,185,017.04/3,801.73
  6. Step 6: Final answer
    x = 2,416.01

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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.