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Finding the Fourth Proportional to 2,697.36, 4,053.36 and 1,465.68

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Solution

The fourth proportional to 2,697.36, 4,053.36 and 1,465.68 is: 2,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.36 : 4,053.36 = 1,465.68 : x
  2. Step 2: Convert to fraction form
    2,697.36/4,053.36 = 1,465.68/x
  3. Step 3: Cross multiply
    2,697.36x = 4,053.36 × 1,465.68
  4. Step 4: Simplify right side
    2,697.36x = 5,940,928.68
  5. Step 5: Solve for x
    x = 5,940,928.68/2,697.36
  6. Step 6: Final answer
    x = 2,202.50

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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.