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Finding the Fourth Proportional to 2,996.85, 4,135.61 and 1,652.50

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Solution

The fourth proportional to 2,996.85, 4,135.61 and 1,652.50 is: 2,280.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.85 : 4,135.61 = 1,652.50 : x
  2. Step 2: Convert to fraction form
    2,996.85/4,135.61 = 1,652.50/x
  3. Step 3: Cross multiply
    2,996.85x = 4,135.61 × 1,652.50
  4. Step 4: Simplify right side
    2,996.85x = 6,834,095.53
  5. Step 5: Solve for x
    x = 6,834,095.53/2,996.85
  6. Step 6: Final answer
    x = 2,280.43

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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.