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Finding the Fourth Proportional to 2,254.64, 3,382.16 and 588.99

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Solution

The fourth proportional to 2,254.64, 3,382.16 and 588.99 is: 883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.64 : 3,382.16 = 588.99 : x
  2. Step 2: Convert to fraction form
    2,254.64/3,382.16 = 588.99/x
  3. Step 3: Cross multiply
    2,254.64x = 3,382.16 × 588.99
  4. Step 4: Simplify right side
    2,254.64x = 1,992,047.02
  5. Step 5: Solve for x
    x = 1,992,047.02/2,254.64
  6. Step 6: Final answer
    x = 883.53

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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.