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Finding the Fourth Proportional to 2,365.71, 3,546.89 and 903.63

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Solution

The fourth proportional to 2,365.71, 3,546.89 and 903.63 is: 1,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.71 : 3,546.89 = 903.63 : x
  2. Step 2: Convert to fraction form
    2,365.71/3,546.89 = 903.63/x
  3. Step 3: Cross multiply
    2,365.71x = 3,546.89 × 903.63
  4. Step 4: Simplify right side
    2,365.71x = 3,205,071.69
  5. Step 5: Solve for x
    x = 3,205,071.69/2,365.71
  6. Step 6: Final answer
    x = 1,354.80

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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.