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Finding the Fourth Proportional to 2,997.82, 4,492.88 and 1,435.48

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Solution

The fourth proportional to 2,997.82, 4,492.88 and 1,435.48 is: 2,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.82 : 4,492.88 = 1,435.48 : x
  2. Step 2: Convert to fraction form
    2,997.82/4,492.88 = 1,435.48/x
  3. Step 3: Cross multiply
    2,997.82x = 4,492.88 × 1,435.48
  4. Step 4: Simplify right side
    2,997.82x = 6,449,437.59
  5. Step 5: Solve for x
    x = 6,449,437.59/2,997.82
  6. Step 6: Final answer
    x = 2,151.38

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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.