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Finding the Fourth Proportional to 2,359.85, 3,255.75 and 1,652.83

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Solution

The fourth proportional to 2,359.85, 3,255.75 and 1,652.83 is: 2,280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.85 : 3,255.75 = 1,652.83 : x
  2. Step 2: Convert to fraction form
    2,359.85/3,255.75 = 1,652.83/x
  3. Step 3: Cross multiply
    2,359.85x = 3,255.75 × 1,652.83
  4. Step 4: Simplify right side
    2,359.85x = 5,381,193.13
  5. Step 5: Solve for x
    x = 5,381,193.13/2,359.85
  6. Step 6: Final answer
    x = 2,280.31

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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.