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Finding the Fourth Proportional to 2,355.32, 3,535.52 and 1,771.98

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Solution

The fourth proportional to 2,355.32, 3,535.52 and 1,771.98 is: 2,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.32 : 3,535.52 = 1,771.98 : x
  2. Step 2: Convert to fraction form
    2,355.32/3,535.52 = 1,771.98/x
  3. Step 3: Cross multiply
    2,355.32x = 3,535.52 × 1,771.98
  4. Step 4: Simplify right side
    2,355.32x = 6,264,861.87
  5. Step 5: Solve for x
    x = 6,264,861.87/2,355.32
  6. Step 6: Final answer
    x = 2,659.88

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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.