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Finding the Fourth Proportional to 2,403, 3,605.94 and 1,035

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Solution

The fourth proportional to 2,403, 3,605.94 and 1,035 is: 1,553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403 : 3,605.94 = 1,035 : x
  2. Step 2: Convert to fraction form
    2,403/3,605.94 = 1,035/x
  3. Step 3: Cross multiply
    2,403x = 3,605.94 × 1,035
  4. Step 4: Simplify right side
    2,403x = 3,732,147.90
  5. Step 5: Solve for x
    x = 3,732,147.90/2,403
  6. Step 6: Final answer
    x = 1,553.12

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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.