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Finding the Fourth Proportional to 1,625.95, 2,440.53 and 1,098.79

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Solution

The fourth proportional to 1,625.95, 2,440.53 and 1,098.79 is: 1,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.95 : 2,440.53 = 1,098.79 : x
  2. Step 2: Convert to fraction form
    1,625.95/2,440.53 = 1,098.79/x
  3. Step 3: Cross multiply
    1,625.95x = 2,440.53 × 1,098.79
  4. Step 4: Simplify right side
    1,625.95x = 2,681,629.96
  5. Step 5: Solve for x
    x = 2,681,629.96/1,625.95
  6. Step 6: Final answer
    x = 1,649.27

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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.