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Finding the Fourth Proportional to 2,365.36, 3,544.38 and 1,497.85

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Solution

The fourth proportional to 2,365.36, 3,544.38 and 1,497.85 is: 2,244.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.36 : 3,544.38 = 1,497.85 : x
  2. Step 2: Convert to fraction form
    2,365.36/3,544.38 = 1,497.85/x
  3. Step 3: Cross multiply
    2,365.36x = 3,544.38 × 1,497.85
  4. Step 4: Simplify right side
    2,365.36x = 5,308,935.61
  5. Step 5: Solve for x
    x = 5,308,935.61/2,365.36
  6. Step 6: Final answer
    x = 2,244.46

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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.