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Finding the Fourth Proportional to 2,463.75, 3,406.05 and 2,360.48

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Solution

The fourth proportional to 2,463.75, 3,406.05 and 2,360.48 is: 3,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.75 : 3,406.05 = 2,360.48 : x
  2. Step 2: Convert to fraction form
    2,463.75/3,406.05 = 2,360.48/x
  3. Step 3: Cross multiply
    2,463.75x = 3,406.05 × 2,360.48
  4. Step 4: Simplify right side
    2,463.75x = 8,039,895.87
  5. Step 5: Solve for x
    x = 8,039,895.87/2,463.75
  6. Step 6: Final answer
    x = 3,263.28

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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.