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Finding the Fourth Proportional to 2,589.61, 3,573.68 and 1,410.68

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Solution

The fourth proportional to 2,589.61, 3,573.68 and 1,410.68 is: 1,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.61 : 3,573.68 = 1,410.68 : x
  2. Step 2: Convert to fraction form
    2,589.61/3,573.68 = 1,410.68/x
  3. Step 3: Cross multiply
    2,589.61x = 3,573.68 × 1,410.68
  4. Step 4: Simplify right side
    2,589.61x = 5,041,318.90
  5. Step 5: Solve for x
    x = 5,041,318.90/2,589.61
  6. Step 6: Final answer
    x = 1,946.75

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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.