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Finding the Fourth Proportional to 2,099.61, 2,893.89 and 1,435.31

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Solution

The fourth proportional to 2,099.61, 2,893.89 and 1,435.31 is: 1,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.61 : 2,893.89 = 1,435.31 : x
  2. Step 2: Convert to fraction form
    2,099.61/2,893.89 = 1,435.31/x
  3. Step 3: Cross multiply
    2,099.61x = 2,893.89 × 1,435.31
  4. Step 4: Simplify right side
    2,099.61x = 4,153,631.02
  5. Step 5: Solve for x
    x = 4,153,631.02/2,099.61
  6. Step 6: Final answer
    x = 1,978.29

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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.