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Finding the Fourth Proportional to 2,463.42, 3,695.00 and 1,364.39

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Solution

The fourth proportional to 2,463.42, 3,695.00 and 1,364.39 is: 2,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.42 : 3,695.00 = 1,364.39 : x
  2. Step 2: Convert to fraction form
    2,463.42/3,695.00 = 1,364.39/x
  3. Step 3: Cross multiply
    2,463.42x = 3,695.00 × 1,364.39
  4. Step 4: Simplify right side
    2,463.42x = 5,041,395.75
  5. Step 5: Solve for x
    x = 5,041,395.75/2,463.42
  6. Step 6: Final answer
    x = 2,046.50

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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.