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Finding the Fourth Proportional to 3,440.83, 5,159.93 and 1,465.22

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Solution

The fourth proportional to 3,440.83, 5,159.93 and 1,465.22 is: 2,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.83 : 5,159.93 = 1,465.22 : x
  2. Step 2: Convert to fraction form
    3,440.83/5,159.93 = 1,465.22/x
  3. Step 3: Cross multiply
    3,440.83x = 5,159.93 × 1,465.22
  4. Step 4: Simplify right side
    3,440.83x = 7,560,410.50
  5. Step 5: Solve for x
    x = 7,560,410.50/3,440.83
  6. Step 6: Final answer
    x = 2,197.27

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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.