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Finding the Fourth Proportional to 2,169.25, 3,253.89 and 525.81

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Solution

The fourth proportional to 2,169.25, 3,253.89 and 525.81 is: 788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.25 : 3,253.89 = 525.81 : x
  2. Step 2: Convert to fraction form
    2,169.25/3,253.89 = 525.81/x
  3. Step 3: Cross multiply
    2,169.25x = 3,253.89 × 525.81
  4. Step 4: Simplify right side
    2,169.25x = 1,710,927.90
  5. Step 5: Solve for x
    x = 1,710,927.90/2,169.25
  6. Step 6: Final answer
    x = 788.72

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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.