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Finding the Fourth Proportional to 2,692.13, 4,039.81 and 1,153.13

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Solution

The fourth proportional to 2,692.13, 4,039.81 and 1,153.13 is: 1,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.13 : 4,039.81 = 1,153.13 : x
  2. Step 2: Convert to fraction form
    2,692.13/4,039.81 = 1,153.13/x
  3. Step 3: Cross multiply
    2,692.13x = 4,039.81 × 1,153.13
  4. Step 4: Simplify right side
    2,692.13x = 4,658,403.02
  5. Step 5: Solve for x
    x = 4,658,403.02/2,692.13
  6. Step 6: Final answer
    x = 1,730.38

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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.