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Finding the Fourth Proportional to 4,290.92, 6,435.48 and 1,693.34

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Solution

The fourth proportional to 4,290.92, 6,435.48 and 1,693.34 is: 2,539.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.92 : 6,435.48 = 1,693.34 : x
  2. Step 2: Convert to fraction form
    4,290.92/6,435.48 = 1,693.34/x
  3. Step 3: Cross multiply
    4,290.92x = 6,435.48 × 1,693.34
  4. Step 4: Simplify right side
    4,290.92x = 10,897,455.70
  5. Step 5: Solve for x
    x = 10,897,455.70/4,290.92
  6. Step 6: Final answer
    x = 2,539.65

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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.