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Finding the Fourth Proportional to 2,589.59, 3,884.84 and 947.22

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Solution

The fourth proportional to 2,589.59, 3,884.84 and 947.22 is: 1,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.59 : 3,884.84 = 947.22 : x
  2. Step 2: Convert to fraction form
    2,589.59/3,884.84 = 947.22/x
  3. Step 3: Cross multiply
    2,589.59x = 3,884.84 × 947.22
  4. Step 4: Simplify right side
    2,589.59x = 3,679,800.51
  5. Step 5: Solve for x
    x = 3,679,800.51/2,589.59
  6. Step 6: Final answer
    x = 1,421.00

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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.