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Finding the Fourth Proportional to 3,061.70, 4,224.64 and 1,735.32

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Solution

The fourth proportional to 3,061.70, 4,224.64 and 1,735.32 is: 2,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.70 : 4,224.64 = 1,735.32 : x
  2. Step 2: Convert to fraction form
    3,061.70/4,224.64 = 1,735.32/x
  3. Step 3: Cross multiply
    3,061.70x = 4,224.64 × 1,735.32
  4. Step 4: Simplify right side
    3,061.70x = 7,331,093.61
  5. Step 5: Solve for x
    x = 7,331,093.61/3,061.70
  6. Step 6: Final answer
    x = 2,394.46

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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.