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Finding the Fourth Proportional to 1,733.03, 2,600.07 and 1,549.26

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Solution

The fourth proportional to 1,733.03, 2,600.07 and 1,549.26 is: 2,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.03 : 2,600.07 = 1,549.26 : x
  2. Step 2: Convert to fraction form
    1,733.03/2,600.07 = 1,549.26/x
  3. Step 3: Cross multiply
    1,733.03x = 2,600.07 × 1,549.26
  4. Step 4: Simplify right side
    1,733.03x = 4,028,184.45
  5. Step 5: Solve for x
    x = 4,028,184.45/1,733.03
  6. Step 6: Final answer
    x = 2,324.36

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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.