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Finding the Fourth Proportional to 2,463.48, 3,399.12 and 1,415.16

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Solution

The fourth proportional to 2,463.48, 3,399.12 and 1,415.16 is: 1,952.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.48 : 3,399.12 = 1,415.16 : x
  2. Step 2: Convert to fraction form
    2,463.48/3,399.12 = 1,415.16/x
  3. Step 3: Cross multiply
    2,463.48x = 3,399.12 × 1,415.16
  4. Step 4: Simplify right side
    2,463.48x = 4,810,298.66
  5. Step 5: Solve for x
    x = 4,810,298.66/2,463.48
  6. Step 6: Final answer
    x = 1,952.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.