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Finding the Fourth Proportional to 1,692.48, 2,535.13 and 1,105.41

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Solution

The fourth proportional to 1,692.48, 2,535.13 and 1,105.41 is: 1,655.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.48 : 2,535.13 = 1,105.41 : x
  2. Step 2: Convert to fraction form
    1,692.48/2,535.13 = 1,105.41/x
  3. Step 3: Cross multiply
    1,692.48x = 2,535.13 × 1,105.41
  4. Step 4: Simplify right side
    1,692.48x = 2,802,358.05
  5. Step 5: Solve for x
    x = 2,802,358.05/1,692.48
  6. Step 6: Final answer
    x = 1,655.77

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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.