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Finding the Fourth Proportional to 1,767.61, 2,645.94 and 1,505.17

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Solution

The fourth proportional to 1,767.61, 2,645.94 and 1,505.17 is: 2,253.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.61 : 2,645.94 = 1,505.17 : x
  2. Step 2: Convert to fraction form
    1,767.61/2,645.94 = 1,505.17/x
  3. Step 3: Cross multiply
    1,767.61x = 2,645.94 × 1,505.17
  4. Step 4: Simplify right side
    1,767.61x = 3,982,589.51
  5. Step 5: Solve for x
    x = 3,982,589.51/1,767.61
  6. Step 6: Final answer
    x = 2,253.09

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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.