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Finding the Fourth Proportional to 2,319.76, 3,202.14 and 1,435.96

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Solution

The fourth proportional to 2,319.76, 3,202.14 and 1,435.96 is: 1,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.76 : 3,202.14 = 1,435.96 : x
  2. Step 2: Convert to fraction form
    2,319.76/3,202.14 = 1,435.96/x
  3. Step 3: Cross multiply
    2,319.76x = 3,202.14 × 1,435.96
  4. Step 4: Simplify right side
    2,319.76x = 4,598,144.95
  5. Step 5: Solve for x
    x = 4,598,144.95/2,319.76
  6. Step 6: Final answer
    x = 1,982.16

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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.