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Finding the Fourth Proportional to 2,363.04, 3,542.03 and 1,129.01

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Solution

The fourth proportional to 2,363.04, 3,542.03 and 1,129.01 is: 1,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.04 : 3,542.03 = 1,129.01 : x
  2. Step 2: Convert to fraction form
    2,363.04/3,542.03 = 1,129.01/x
  3. Step 3: Cross multiply
    2,363.04x = 3,542.03 × 1,129.01
  4. Step 4: Simplify right side
    2,363.04x = 3,998,968.17
  5. Step 5: Solve for x
    x = 3,998,968.17/2,363.04
  6. Step 6: Final answer
    x = 1,692.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.