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Finding the Fourth Proportional to 1,645.05, 2,270.96 and 972.97

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Solution

The fourth proportional to 1,645.05, 2,270.96 and 972.97 is: 1,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.05 : 2,270.96 = 972.97 : x
  2. Step 2: Convert to fraction form
    1,645.05/2,270.96 = 972.97/x
  3. Step 3: Cross multiply
    1,645.05x = 2,270.96 × 972.97
  4. Step 4: Simplify right side
    1,645.05x = 2,209,575.95
  5. Step 5: Solve for x
    x = 2,209,575.95/1,645.05
  6. Step 6: Final answer
    x = 1,343.17

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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.