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Finding the Fourth Proportional to 2,294.64, 3,157.88 and 2,196.24

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Solution

The fourth proportional to 2,294.64, 3,157.88 and 2,196.24 is: 3,022.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.64 : 3,157.88 = 2,196.24 : x
  2. Step 2: Convert to fraction form
    2,294.64/3,157.88 = 2,196.24/x
  3. Step 3: Cross multiply
    2,294.64x = 3,157.88 × 2,196.24
  4. Step 4: Simplify right side
    2,294.64x = 6,935,462.37
  5. Step 5: Solve for x
    x = 6,935,462.37/2,294.64
  6. Step 6: Final answer
    x = 3,022.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.