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Finding the Fourth Proportional to 1,449.70, 2,174.51 and 1,435.32

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Solution

The fourth proportional to 1,449.70, 2,174.51 and 1,435.32 is: 2,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.70 : 2,174.51 = 1,435.32 : x
  2. Step 2: Convert to fraction form
    1,449.70/2,174.51 = 1,435.32/x
  3. Step 3: Cross multiply
    1,449.70x = 2,174.51 × 1,435.32
  4. Step 4: Simplify right side
    1,449.70x = 3,121,121.28
  5. Step 5: Solve for x
    x = 3,121,121.28/1,449.70
  6. Step 6: Final answer
    x = 2,152.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.