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Finding the Fourth Proportional to 3,113.98, 4,666.24 and 2,288.32

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Solution

The fourth proportional to 3,113.98, 4,666.24 and 2,288.32 is: 3,429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.98 : 4,666.24 = 2,288.32 : x
  2. Step 2: Convert to fraction form
    3,113.98/4,666.24 = 2,288.32/x
  3. Step 3: Cross multiply
    3,113.98x = 4,666.24 × 2,288.32
  4. Step 4: Simplify right side
    3,113.98x = 10,677,850.32
  5. Step 5: Solve for x
    x = 10,677,850.32/3,113.98
  6. Step 6: Final answer
    x = 3,429.00

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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.