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Finding the Fourth Proportional to 2,456.47, 3,684.58 and 701.47

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Solution

The fourth proportional to 2,456.47, 3,684.58 and 701.47 is: 1,052.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.47 : 3,684.58 = 701.47 : x
  2. Step 2: Convert to fraction form
    2,456.47/3,684.58 = 701.47/x
  3. Step 3: Cross multiply
    2,456.47x = 3,684.58 × 701.47
  4. Step 4: Simplify right side
    2,456.47x = 2,584,622.33
  5. Step 5: Solve for x
    x = 2,584,622.33/2,456.47
  6. Step 6: Final answer
    x = 1,052.17

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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.