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Finding the Fourth Proportional to 2,589.65, 3,573.77 and 1,410.71

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Solution

The fourth proportional to 2,589.65, 3,573.77 and 1,410.71 is: 1,946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.65 : 3,573.77 = 1,410.71 : x
  2. Step 2: Convert to fraction form
    2,589.65/3,573.77 = 1,410.71/x
  3. Step 3: Cross multiply
    2,589.65x = 3,573.77 × 1,410.71
  4. Step 4: Simplify right side
    2,589.65x = 5,041,554.96
  5. Step 5: Solve for x
    x = 5,041,554.96/2,589.65
  6. Step 6: Final answer
    x = 1,946.81

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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.