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Finding the Fourth Proportional to 2,476, 3,713.56 and 1,089.08

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Solution

The fourth proportional to 2,476, 3,713.56 and 1,089.08 is: 1,633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476 : 3,713.56 = 1,089.08 : x
  2. Step 2: Convert to fraction form
    2,476/3,713.56 = 1,089.08/x
  3. Step 3: Cross multiply
    2,476x = 3,713.56 × 1,089.08
  4. Step 4: Simplify right side
    2,476x = 4,044,363.92
  5. Step 5: Solve for x
    x = 4,044,363.92/2,476
  6. Step 6: Final answer
    x = 1,633.43

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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.