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Finding the Fourth Proportional to 2,169.53, 3,252.32 and 782.54

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Solution

The fourth proportional to 2,169.53, 3,252.32 and 782.54 is: 1,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.53 : 3,252.32 = 782.54 : x
  2. Step 2: Convert to fraction form
    2,169.53/3,252.32 = 782.54/x
  3. Step 3: Cross multiply
    2,169.53x = 3,252.32 × 782.54
  4. Step 4: Simplify right side
    2,169.53x = 2,545,074.71
  5. Step 5: Solve for x
    x = 2,545,074.71/2,169.53
  6. Step 6: Final answer
    x = 1,173.10

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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.