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Finding the Fourth Proportional to 2,476.24, 3,714.34 and 627.35

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Solution

The fourth proportional to 2,476.24, 3,714.34 and 627.35 is: 941.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.24 : 3,714.34 = 627.35 : x
  2. Step 2: Convert to fraction form
    2,476.24/3,714.34 = 627.35/x
  3. Step 3: Cross multiply
    2,476.24x = 3,714.34 × 627.35
  4. Step 4: Simplify right side
    2,476.24x = 2,330,203.57
  5. Step 5: Solve for x
    x = 2,330,203.57/2,476.24
  6. Step 6: Final answer
    x = 941.03

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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.