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Finding the Fourth Proportional to 2,446.97, 3,670.43 and 598.11

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Solution

The fourth proportional to 2,446.97, 3,670.43 and 598.11 is: 897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.97 : 3,670.43 = 598.11 : x
  2. Step 2: Convert to fraction form
    2,446.97/3,670.43 = 598.11/x
  3. Step 3: Cross multiply
    2,446.97x = 3,670.43 × 598.11
  4. Step 4: Simplify right side
    2,446.97x = 2,195,304.92
  5. Step 5: Solve for x
    x = 2,195,304.92/2,446.97
  6. Step 6: Final answer
    x = 897.15

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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.