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Finding the Fourth Proportional to 2,320.03, 3,200.20 and 1,435.11

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Solution

The fourth proportional to 2,320.03, 3,200.20 and 1,435.11 is: 1,979.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.03 : 3,200.20 = 1,435.11 : x
  2. Step 2: Convert to fraction form
    2,320.03/3,200.20 = 1,435.11/x
  3. Step 3: Cross multiply
    2,320.03x = 3,200.20 × 1,435.11
  4. Step 4: Simplify right side
    2,320.03x = 4,592,639.02
  5. Step 5: Solve for x
    x = 4,592,639.02/2,320.03
  6. Step 6: Final answer
    x = 1,979.56

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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.