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Finding the Fourth Proportional to 2,335.43, 3,477.22 and 2,302.74

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Solution

The fourth proportional to 2,335.43, 3,477.22 and 2,302.74 is: 3,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.43 : 3,477.22 = 2,302.74 : x
  2. Step 2: Convert to fraction form
    2,335.43/3,477.22 = 2,302.74/x
  3. Step 3: Cross multiply
    2,335.43x = 3,477.22 × 2,302.74
  4. Step 4: Simplify right side
    2,335.43x = 8,007,122.07
  5. Step 5: Solve for x
    x = 8,007,122.07/2,335.43
  6. Step 6: Final answer
    x = 3,428.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.