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Finding the Fourth Proportional to 2,319.48, 3,203.70 and 1,692

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Solution

The fourth proportional to 2,319.48, 3,203.70 and 1,692 is: 2,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.48 : 3,203.70 = 1,692 : x
  2. Step 2: Convert to fraction form
    2,319.48/3,203.70 = 1,692/x
  3. Step 3: Cross multiply
    2,319.48x = 3,203.70 × 1,692
  4. Step 4: Simplify right side
    2,319.48x = 5,420,660.40
  5. Step 5: Solve for x
    x = 5,420,660.40/2,319.48
  6. Step 6: Final answer
    x = 2,337.02

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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.