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Finding the Fourth Proportional to 2,478, 3,714.12 and 1,015.38

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Solution

The fourth proportional to 2,478, 3,714.12 and 1,015.38 is: 1,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478 : 3,714.12 = 1,015.38 : x
  2. Step 2: Convert to fraction form
    2,478/3,714.12 = 1,015.38/x
  3. Step 3: Cross multiply
    2,478x = 3,714.12 × 1,015.38
  4. Step 4: Simplify right side
    2,478x = 3,771,243.17
  5. Step 5: Solve for x
    x = 3,771,243.17/2,478
  6. Step 6: Final answer
    x = 1,521.89

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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.