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Finding the Fourth Proportional to 2,400.03, 3,312.06 and 1,352.09

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Solution

The fourth proportional to 2,400.03, 3,312.06 and 1,352.09 is: 1,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.03 : 3,312.06 = 1,352.09 : x
  2. Step 2: Convert to fraction form
    2,400.03/3,312.06 = 1,352.09/x
  3. Step 3: Cross multiply
    2,400.03x = 3,312.06 × 1,352.09
  4. Step 4: Simplify right side
    2,400.03x = 4,478,217.82
  5. Step 5: Solve for x
    x = 4,478,217.82/2,400.03
  6. Step 6: Final answer
    x = 1,865.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.