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Finding the Fourth Proportional to 2,352.06, 3,521.93 and 2,282.76

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Solution

The fourth proportional to 2,352.06, 3,521.93 and 2,282.76 is: 3,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.06 : 3,521.93 = 2,282.76 : x
  2. Step 2: Convert to fraction form
    2,352.06/3,521.93 = 2,282.76/x
  3. Step 3: Cross multiply
    2,352.06x = 3,521.93 × 2,282.76
  4. Step 4: Simplify right side
    2,352.06x = 8,039,709.51
  5. Step 5: Solve for x
    x = 8,039,709.51/2,352.06
  6. Step 6: Final answer
    x = 3,418.16

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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.