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Finding the Fourth Proportional to 1,649.64, 2,460.03 and 1,612.56

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Solution

The fourth proportional to 1,649.64, 2,460.03 and 1,612.56 is: 2,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.64 : 2,460.03 = 1,612.56 : x
  2. Step 2: Convert to fraction form
    1,649.64/2,460.03 = 1,612.56/x
  3. Step 3: Cross multiply
    1,649.64x = 2,460.03 × 1,612.56
  4. Step 4: Simplify right side
    1,649.64x = 3,966,945.98
  5. Step 5: Solve for x
    x = 3,966,945.98/1,649.64
  6. Step 6: Final answer
    x = 2,404.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.