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Finding the Fourth Proportional to 2,313.61, 3,467.10 and 2,188.87

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Solution

The fourth proportional to 2,313.61, 3,467.10 and 2,188.87 is: 3,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.61 : 3,467.10 = 2,188.87 : x
  2. Step 2: Convert to fraction form
    2,313.61/3,467.10 = 2,188.87/x
  3. Step 3: Cross multiply
    2,313.61x = 3,467.10 × 2,188.87
  4. Step 4: Simplify right side
    2,313.61x = 7,589,030.72
  5. Step 5: Solve for x
    x = 7,589,030.72/2,313.61
  6. Step 6: Final answer
    x = 3,280.17

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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.