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Finding the Fourth Proportional to 3,302.84, 4,557.92 and 1,810.82

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Solution

The fourth proportional to 3,302.84, 4,557.92 and 1,810.82 is: 2,498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.84 : 4,557.92 = 1,810.82 : x
  2. Step 2: Convert to fraction form
    3,302.84/4,557.92 = 1,810.82/x
  3. Step 3: Cross multiply
    3,302.84x = 4,557.92 × 1,810.82
  4. Step 4: Simplify right side
    3,302.84x = 8,253,540.85
  5. Step 5: Solve for x
    x = 8,253,540.85/3,302.84
  6. Step 6: Final answer
    x = 2,498.93

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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.