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Finding the Fourth Proportional to 2,460.45, 3,689.31 and 1,767.45

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Solution

The fourth proportional to 2,460.45, 3,689.31 and 1,767.45 is: 2,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.45 : 3,689.31 = 1,767.45 : x
  2. Step 2: Convert to fraction form
    2,460.45/3,689.31 = 1,767.45/x
  3. Step 3: Cross multiply
    2,460.45x = 3,689.31 × 1,767.45
  4. Step 4: Simplify right side
    2,460.45x = 6,520,652.84
  5. Step 5: Solve for x
    x = 6,520,652.84/2,460.45
  6. Step 6: Final answer
    x = 2,650.19

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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.