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Finding the Fourth Proportional to 2,589.79, 3,574.21 and 1,541.86

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Solution

The fourth proportional to 2,589.79, 3,574.21 and 1,541.86 is: 2,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.79 : 3,574.21 = 1,541.86 : x
  2. Step 2: Convert to fraction form
    2,589.79/3,574.21 = 1,541.86/x
  3. Step 3: Cross multiply
    2,589.79x = 3,574.21 × 1,541.86
  4. Step 4: Simplify right side
    2,589.79x = 5,510,931.43
  5. Step 5: Solve for x
    x = 5,510,931.43/2,589.79
  6. Step 6: Final answer
    x = 2,127.95

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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.