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Finding the Fourth Proportional to 2,456.57, 3,684.11 and 701.45

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Solution

The fourth proportional to 2,456.57, 3,684.11 and 701.45 is: 1,051.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.57 : 3,684.11 = 701.45 : x
  2. Step 2: Convert to fraction form
    2,456.57/3,684.11 = 701.45/x
  3. Step 3: Cross multiply
    2,456.57x = 3,684.11 × 701.45
  4. Step 4: Simplify right side
    2,456.57x = 2,584,197.03
  5. Step 5: Solve for x
    x = 2,584,197.03/2,456.57
  6. Step 6: Final answer
    x = 1,051.96

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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.