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Finding the Fourth Proportional to 1,341.74, 2,013.02 and 1,109.58

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Solution

The fourth proportional to 1,341.74, 2,013.02 and 1,109.58 is: 1,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.74 : 2,013.02 = 1,109.58 : x
  2. Step 2: Convert to fraction form
    1,341.74/2,013.02 = 1,109.58/x
  3. Step 3: Cross multiply
    1,341.74x = 2,013.02 × 1,109.58
  4. Step 4: Simplify right side
    1,341.74x = 2,233,606.73
  5. Step 5: Solve for x
    x = 2,233,606.73/1,341.74
  6. Step 6: Final answer
    x = 1,664.71

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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.