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Finding the Fourth Proportional to 2,476.39, 3,714.70 and 1,014.52

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Solution

The fourth proportional to 2,476.39, 3,714.70 and 1,014.52 is: 1,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.39 : 3,714.70 = 1,014.52 : x
  2. Step 2: Convert to fraction form
    2,476.39/3,714.70 = 1,014.52/x
  3. Step 3: Cross multiply
    2,476.39x = 3,714.70 × 1,014.52
  4. Step 4: Simplify right side
    2,476.39x = 3,768,625.62
  5. Step 5: Solve for x
    x = 3,768,625.62/2,476.39
  6. Step 6: Final answer
    x = 1,521.82

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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.