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Finding the Fourth Proportional to 2,365.44, 3,547.08 and 1,391.82

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Solution

The fourth proportional to 2,365.44, 3,547.08 and 1,391.82 is: 2,087.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.44 : 3,547.08 = 1,391.82 : x
  2. Step 2: Convert to fraction form
    2,365.44/3,547.08 = 1,391.82/x
  3. Step 3: Cross multiply
    2,365.44x = 3,547.08 × 1,391.82
  4. Step 4: Simplify right side
    2,365.44x = 4,936,896.89
  5. Step 5: Solve for x
    x = 4,936,896.89/2,365.44
  6. Step 6: Final answer
    x = 2,087.09

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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.