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Finding the Fourth Proportional to 2,417.98, 3,627.17 and 857.72

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Solution

The fourth proportional to 2,417.98, 3,627.17 and 857.72 is: 1,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.98 : 3,627.17 = 857.72 : x
  2. Step 2: Convert to fraction form
    2,417.98/3,627.17 = 857.72/x
  3. Step 3: Cross multiply
    2,417.98x = 3,627.17 × 857.72
  4. Step 4: Simplify right side
    2,417.98x = 3,111,096.25
  5. Step 5: Solve for x
    x = 3,111,096.25/2,417.98
  6. Step 6: Final answer
    x = 1,286.65

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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.