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Finding the Fourth Proportional to 3,102.47, 4,281.41 and 1,705.25

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Solution

The fourth proportional to 3,102.47, 4,281.41 and 1,705.25 is: 2,353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.47 : 4,281.41 = 1,705.25 : x
  2. Step 2: Convert to fraction form
    3,102.47/4,281.41 = 1,705.25/x
  3. Step 3: Cross multiply
    3,102.47x = 4,281.41 × 1,705.25
  4. Step 4: Simplify right side
    3,102.47x = 7,300,866.92
  5. Step 5: Solve for x
    x = 7,300,866.92/3,102.47
  6. Step 6: Final answer
    x = 2,353.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.