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Finding the Fourth Proportional to 3,109.78, 4,291.50 and 1,693.48

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Solution

The fourth proportional to 3,109.78, 4,291.50 and 1,693.48 is: 2,337.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.78 : 4,291.50 = 1,693.48 : x
  2. Step 2: Convert to fraction form
    3,109.78/4,291.50 = 1,693.48/x
  3. Step 3: Cross multiply
    3,109.78x = 4,291.50 × 1,693.48
  4. Step 4: Simplify right side
    3,109.78x = 7,267,558.69
  5. Step 5: Solve for x
    x = 7,267,558.69/3,109.78
  6. Step 6: Final answer
    x = 2,337.00

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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.