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Finding the Fourth Proportional to 1,435.61, 2,151.83 and 742.32

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Solution

The fourth proportional to 1,435.61, 2,151.83 and 742.32 is: 1,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.61 : 2,151.83 = 742.32 : x
  2. Step 2: Convert to fraction form
    1,435.61/2,151.83 = 742.32/x
  3. Step 3: Cross multiply
    1,435.61x = 2,151.83 × 742.32
  4. Step 4: Simplify right side
    1,435.61x = 1,597,348.30
  5. Step 5: Solve for x
    x = 1,597,348.30/1,435.61
  6. Step 6: Final answer
    x = 1,112.66

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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.