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Finding the Fourth Proportional to 2,893.10, 4,341.46 and 1,662.90

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Solution

The fourth proportional to 2,893.10, 4,341.46 and 1,662.90 is: 2,495.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.10 : 4,341.46 = 1,662.90 : x
  2. Step 2: Convert to fraction form
    2,893.10/4,341.46 = 1,662.90/x
  3. Step 3: Cross multiply
    2,893.10x = 4,341.46 × 1,662.90
  4. Step 4: Simplify right side
    2,893.10x = 7,219,413.83
  5. Step 5: Solve for x
    x = 7,219,413.83/2,893.10
  6. Step 6: Final answer
    x = 2,495.39

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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.