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Finding the Fourth Proportional to 2,476.34, 3,714.62 and 627.47

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Solution

The fourth proportional to 2,476.34, 3,714.62 and 627.47 is: 941.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.34 : 3,714.62 = 627.47 : x
  2. Step 2: Convert to fraction form
    2,476.34/3,714.62 = 627.47/x
  3. Step 3: Cross multiply
    2,476.34x = 3,714.62 × 627.47
  4. Step 4: Simplify right side
    2,476.34x = 2,330,790.90
  5. Step 5: Solve for x
    x = 2,330,790.90/2,476.34
  6. Step 6: Final answer
    x = 941.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.