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Finding the Fourth Proportional to 2,460.44, 3,690.63 and 999.24

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Solution

The fourth proportional to 2,460.44, 3,690.63 and 999.24 is: 1,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.44 : 3,690.63 = 999.24 : x
  2. Step 2: Convert to fraction form
    2,460.44/3,690.63 = 999.24/x
  3. Step 3: Cross multiply
    2,460.44x = 3,690.63 × 999.24
  4. Step 4: Simplify right side
    2,460.44x = 3,687,825.12
  5. Step 5: Solve for x
    x = 3,687,825.12/2,460.44
  6. Step 6: Final answer
    x = 1,498.85

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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.