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Finding the Fourth Proportional to 1,701.34, 2,552.78 and 823.37

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Solution

The fourth proportional to 1,701.34, 2,552.78 and 823.37 is: 1,235.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.34 : 2,552.78 = 823.37 : x
  2. Step 2: Convert to fraction form
    1,701.34/2,552.78 = 823.37/x
  3. Step 3: Cross multiply
    1,701.34x = 2,552.78 × 823.37
  4. Step 4: Simplify right side
    1,701.34x = 2,101,871.76
  5. Step 5: Solve for x
    x = 2,101,871.76/1,701.34
  6. Step 6: Final answer
    x = 1,235.42

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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.