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Finding the Fourth Proportional to 3,062.34, 4,225.23 and 1,735.74

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Solution

The fourth proportional to 3,062.34, 4,225.23 and 1,735.74 is: 2,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.34 : 4,225.23 = 1,735.74 : x
  2. Step 2: Convert to fraction form
    3,062.34/4,225.23 = 1,735.74/x
  3. Step 3: Cross multiply
    3,062.34x = 4,225.23 × 1,735.74
  4. Step 4: Simplify right side
    3,062.34x = 7,333,900.72
  5. Step 5: Solve for x
    x = 7,333,900.72/3,062.34
  6. Step 6: Final answer
    x = 2,394.87

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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.