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Finding the Fourth Proportional to 1,625.83, 2,436.69 and 700.46

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Solution

The fourth proportional to 1,625.83, 2,436.69 and 700.46 is: 1,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.83 : 2,436.69 = 700.46 : x
  2. Step 2: Convert to fraction form
    1,625.83/2,436.69 = 700.46/x
  3. Step 3: Cross multiply
    1,625.83x = 2,436.69 × 700.46
  4. Step 4: Simplify right side
    1,625.83x = 1,706,791.69
  5. Step 5: Solve for x
    x = 1,706,791.69/1,625.83
  6. Step 6: Final answer
    x = 1,049.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.