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Finding the Fourth Proportional to 1,632.25, 2,252.51 and 934.03

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Solution

The fourth proportional to 1,632.25, 2,252.51 and 934.03 is: 1,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.25 : 2,252.51 = 934.03 : x
  2. Step 2: Convert to fraction form
    1,632.25/2,252.51 = 934.03/x
  3. Step 3: Cross multiply
    1,632.25x = 2,252.51 × 934.03
  4. Step 4: Simplify right side
    1,632.25x = 2,103,911.92
  5. Step 5: Solve for x
    x = 2,103,911.92/1,632.25
  6. Step 6: Final answer
    x = 1,288.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.