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Finding the Fourth Proportional to 2,465.52, 3,699.36 and 1,311.36

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Solution

The fourth proportional to 2,465.52, 3,699.36 and 1,311.36 is: 1,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.52 : 3,699.36 = 1,311.36 : x
  2. Step 2: Convert to fraction form
    2,465.52/3,699.36 = 1,311.36/x
  3. Step 3: Cross multiply
    2,465.52x = 3,699.36 × 1,311.36
  4. Step 4: Simplify right side
    2,465.52x = 4,851,192.73
  5. Step 5: Solve for x
    x = 4,851,192.73/2,465.52
  6. Step 6: Final answer
    x = 1,967.61

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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.