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Finding the Fourth Proportional to 2,462.51, 3,690.57 and 999.96

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Solution

The fourth proportional to 2,462.51, 3,690.57 and 999.96 is: 1,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.51 : 3,690.57 = 999.96 : x
  2. Step 2: Convert to fraction form
    2,462.51/3,690.57 = 999.96/x
  3. Step 3: Cross multiply
    2,462.51x = 3,690.57 × 999.96
  4. Step 4: Simplify right side
    2,462.51x = 3,690,422.38
  5. Step 5: Solve for x
    x = 3,690,422.38/2,462.51
  6. Step 6: Final answer
    x = 1,498.65

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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.