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Finding the Fourth Proportional to 2,407, 3,604.02 and 1,365.46

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Solution

The fourth proportional to 2,407, 3,604.02 and 1,365.46 is: 2,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407 : 3,604.02 = 1,365.46 : x
  2. Step 2: Convert to fraction form
    2,407/3,604.02 = 1,365.46/x
  3. Step 3: Cross multiply
    2,407x = 3,604.02 × 1,365.46
  4. Step 4: Simplify right side
    2,407x = 4,921,145.15
  5. Step 5: Solve for x
    x = 4,921,145.15/2,407
  6. Step 6: Final answer
    x = 2,044.51

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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.