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Finding the Fourth Proportional to 2,463.40, 3,417.07 and 2,380.52

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Solution

The fourth proportional to 2,463.40, 3,417.07 and 2,380.52 is: 3,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.40 : 3,417.07 = 2,380.52 : x
  2. Step 2: Convert to fraction form
    2,463.40/3,417.07 = 2,380.52/x
  3. Step 3: Cross multiply
    2,463.40x = 3,417.07 × 2,380.52
  4. Step 4: Simplify right side
    2,463.40x = 8,134,403.48
  5. Step 5: Solve for x
    x = 8,134,403.48/2,463.40
  6. Step 6: Final answer
    x = 3,302.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.