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Finding the Fourth Proportional to 2,490.38, 3,435.72 and 1,606.68

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Solution

The fourth proportional to 2,490.38, 3,435.72 and 1,606.68 is: 2,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.38 : 3,435.72 = 1,606.68 : x
  2. Step 2: Convert to fraction form
    2,490.38/3,435.72 = 1,606.68/x
  3. Step 3: Cross multiply
    2,490.38x = 3,435.72 × 1,606.68
  4. Step 4: Simplify right side
    2,490.38x = 5,520,102.61
  5. Step 5: Solve for x
    x = 5,520,102.61/2,490.38
  6. Step 6: Final answer
    x = 2,216.57

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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.