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Finding the Fourth Proportional to 2,476.48, 3,713.82 and 1,014.82

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Solution

The fourth proportional to 2,476.48, 3,713.82 and 1,014.82 is: 1,521.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.48 : 3,713.82 = 1,014.82 : x
  2. Step 2: Convert to fraction form
    2,476.48/3,713.82 = 1,014.82/x
  3. Step 3: Cross multiply
    2,476.48x = 3,713.82 × 1,014.82
  4. Step 4: Simplify right side
    2,476.48x = 3,768,858.81
  5. Step 5: Solve for x
    x = 3,768,858.81/2,476.48
  6. Step 6: Final answer
    x = 1,521.86

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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.