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Finding the Fourth Proportional to 2,370.66, 3,555.98 and 2,305.86

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Solution

The fourth proportional to 2,370.66, 3,555.98 and 2,305.86 is: 3,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.66 : 3,555.98 = 2,305.86 : x
  2. Step 2: Convert to fraction form
    2,370.66/3,555.98 = 2,305.86/x
  3. Step 3: Cross multiply
    2,370.66x = 3,555.98 × 2,305.86
  4. Step 4: Simplify right side
    2,370.66x = 8,199,592.04
  5. Step 5: Solve for x
    x = 8,199,592.04/2,370.66
  6. Step 6: Final answer
    x = 3,458.78

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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.