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Finding the Fourth Proportional to 2,798.85, 3,864.07 and 2,487.46

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Solution

The fourth proportional to 2,798.85, 3,864.07 and 2,487.46 is: 3,434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.85 : 3,864.07 = 2,487.46 : x
  2. Step 2: Convert to fraction form
    2,798.85/3,864.07 = 2,487.46/x
  3. Step 3: Cross multiply
    2,798.85x = 3,864.07 × 2,487.46
  4. Step 4: Simplify right side
    2,798.85x = 9,611,705.41
  5. Step 5: Solve for x
    x = 9,611,705.41/2,798.85
  6. Step 6: Final answer
    x = 3,434.17

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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.