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Finding the Fourth Proportional to 2,403.57, 3,605.66 and 844.01

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Solution

The fourth proportional to 2,403.57, 3,605.66 and 844.01 is: 1,266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.57 : 3,605.66 = 844.01 : x
  2. Step 2: Convert to fraction form
    2,403.57/3,605.66 = 844.01/x
  3. Step 3: Cross multiply
    2,403.57x = 3,605.66 × 844.01
  4. Step 4: Simplify right side
    2,403.57x = 3,043,207.21
  5. Step 5: Solve for x
    x = 3,043,207.21/2,403.57
  6. Step 6: Final answer
    x = 1,266.12

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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.