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Finding the Fourth Proportional to 2,476.71, 3,715.11 and 1,014.84

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Solution

The fourth proportional to 2,476.71, 3,715.11 and 1,014.84 is: 1,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.71 : 3,715.11 = 1,014.84 : x
  2. Step 2: Convert to fraction form
    2,476.71/3,715.11 = 1,014.84/x
  3. Step 3: Cross multiply
    2,476.71x = 3,715.11 × 1,014.84
  4. Step 4: Simplify right side
    2,476.71x = 3,770,242.23
  5. Step 5: Solve for x
    x = 3,770,242.23/2,476.71
  6. Step 6: Final answer
    x = 1,522.28

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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.