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Finding the Fourth Proportional to 2,294.64, 3,166.84 and 1,455.60

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Solution

The fourth proportional to 2,294.64, 3,166.84 and 1,455.60 is: 2,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.64 : 3,166.84 = 1,455.60 : x
  2. Step 2: Convert to fraction form
    2,294.64/3,166.84 = 1,455.60/x
  3. Step 3: Cross multiply
    2,294.64x = 3,166.84 × 1,455.60
  4. Step 4: Simplify right side
    2,294.64x = 4,609,652.30
  5. Step 5: Solve for x
    x = 4,609,652.30/2,294.64
  6. Step 6: Final answer
    x = 2,008.88

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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.