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Finding the Fourth Proportional to 2,353.77, 3,248.04 and 1,305.75

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Solution

The fourth proportional to 2,353.77, 3,248.04 and 1,305.75 is: 1,801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.77 : 3,248.04 = 1,305.75 : x
  2. Step 2: Convert to fraction form
    2,353.77/3,248.04 = 1,305.75/x
  3. Step 3: Cross multiply
    2,353.77x = 3,248.04 × 1,305.75
  4. Step 4: Simplify right side
    2,353.77x = 4,241,128.23
  5. Step 5: Solve for x
    x = 4,241,128.23/2,353.77
  6. Step 6: Final answer
    x = 1,801.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.