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Finding the Fourth Proportional to 2,373.32, 3,563.63 and 2,115.74

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Solution

The fourth proportional to 2,373.32, 3,563.63 and 2,115.74 is: 3,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.32 : 3,563.63 = 2,115.74 : x
  2. Step 2: Convert to fraction form
    2,373.32/3,563.63 = 2,115.74/x
  3. Step 3: Cross multiply
    2,373.32x = 3,563.63 × 2,115.74
  4. Step 4: Simplify right side
    2,373.32x = 7,539,686.14
  5. Step 5: Solve for x
    x = 7,539,686.14/2,373.32
  6. Step 6: Final answer
    x = 3,176.86

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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.