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Finding the Fourth Proportional to 2,365.44, 3,548.88 and 1,390.92

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Solution

The fourth proportional to 2,365.44, 3,548.88 and 1,390.92 is: 2,086.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.44 : 3,548.88 = 1,390.92 : x
  2. Step 2: Convert to fraction form
    2,365.44/3,548.88 = 1,390.92/x
  3. Step 3: Cross multiply
    2,365.44x = 3,548.88 × 1,390.92
  4. Step 4: Simplify right side
    2,365.44x = 4,936,208.17
  5. Step 5: Solve for x
    x = 4,936,208.17/2,365.44
  6. Step 6: Final answer
    x = 2,086.80

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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.