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Finding the Fourth Proportional to 2,837.84, 4,231.30 and 2,786

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Solution

The fourth proportional to 2,837.84, 4,231.30 and 2,786 is: 4,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837.84 : 4,231.30 = 2,786 : x
  2. Step 2: Convert to fraction form
    2,837.84/4,231.30 = 2,786/x
  3. Step 3: Cross multiply
    2,837.84x = 4,231.30 × 2,786
  4. Step 4: Simplify right side
    2,837.84x = 11,788,401.80
  5. Step 5: Solve for x
    x = 11,788,401.80/2,837.84
  6. Step 6: Final answer
    x = 4,154.01

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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.