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Finding the Fourth Proportional to 2,465.67, 3,699.12 and 734.30

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Solution

The fourth proportional to 2,465.67, 3,699.12 and 734.30 is: 1,101.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.67 : 3,699.12 = 734.30 : x
  2. Step 2: Convert to fraction form
    2,465.67/3,699.12 = 734.30/x
  3. Step 3: Cross multiply
    2,465.67x = 3,699.12 × 734.30
  4. Step 4: Simplify right side
    2,465.67x = 2,716,263.82
  5. Step 5: Solve for x
    x = 2,716,263.82/2,465.67
  6. Step 6: Final answer
    x = 1,101.63

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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.