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Finding the Fourth Proportional to 2,322.63, 3,487.07 and 2,298.15

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Solution

The fourth proportional to 2,322.63, 3,487.07 and 2,298.15 is: 3,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.63 : 3,487.07 = 2,298.15 : x
  2. Step 2: Convert to fraction form
    2,322.63/3,487.07 = 2,298.15/x
  3. Step 3: Cross multiply
    2,322.63x = 3,487.07 × 2,298.15
  4. Step 4: Simplify right side
    2,322.63x = 8,013,798.43
  5. Step 5: Solve for x
    x = 8,013,798.43/2,322.63
  6. Step 6: Final answer
    x = 3,450.31

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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.