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Finding the Fourth Proportional to 2,319.80, 3,200.10 and 1,435.28

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Solution

The fourth proportional to 2,319.80, 3,200.10 and 1,435.28 is: 1,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.80 : 3,200.10 = 1,435.28 : x
  2. Step 2: Convert to fraction form
    2,319.80/3,200.10 = 1,435.28/x
  3. Step 3: Cross multiply
    2,319.80x = 3,200.10 × 1,435.28
  4. Step 4: Simplify right side
    2,319.80x = 4,593,039.53
  5. Step 5: Solve for x
    x = 4,593,039.53/2,319.80
  6. Step 6: Final answer
    x = 1,979.93

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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.