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Finding the Fourth Proportional to 1,625.60, 2,223.44 and 1,600.08

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Solution

The fourth proportional to 1,625.60, 2,223.44 and 1,600.08 is: 2,188.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.60 : 2,223.44 = 1,600.08 : x
  2. Step 2: Convert to fraction form
    1,625.60/2,223.44 = 1,600.08/x
  3. Step 3: Cross multiply
    1,625.60x = 2,223.44 × 1,600.08
  4. Step 4: Simplify right side
    1,625.60x = 3,557,681.88
  5. Step 5: Solve for x
    x = 3,557,681.88/1,625.60
  6. Step 6: Final answer
    x = 2,188.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.