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Finding the Fourth Proportional to 2,462.75, 3,398.64 and 1,415.06

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Solution

The fourth proportional to 2,462.75, 3,398.64 and 1,415.06 is: 1,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.75 : 3,398.64 = 1,415.06 : x
  2. Step 2: Convert to fraction form
    2,462.75/3,398.64 = 1,415.06/x
  3. Step 3: Cross multiply
    2,462.75x = 3,398.64 × 1,415.06
  4. Step 4: Simplify right side
    2,462.75x = 4,809,279.52
  5. Step 5: Solve for x
    x = 4,809,279.52/2,462.75
  6. Step 6: Final answer
    x = 1,952.81

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1.5x scale

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.