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Finding the Fourth Proportional to 3,402.61, 4,694.76 and 2,075.83

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Solution

The fourth proportional to 3,402.61, 4,694.76 and 2,075.83 is: 2,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.61 : 4,694.76 = 2,075.83 : x
  2. Step 2: Convert to fraction form
    3,402.61/4,694.76 = 2,075.83/x
  3. Step 3: Cross multiply
    3,402.61x = 4,694.76 × 2,075.83
  4. Step 4: Simplify right side
    3,402.61x = 9,745,511.91
  5. Step 5: Solve for x
    x = 9,745,511.91/3,402.61
  6. Step 6: Final answer
    x = 2,864.13

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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.