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Finding the Fourth Proportional to 2,589.60, 3,573.47 and 1,410.65

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Solution

The fourth proportional to 2,589.60, 3,573.47 and 1,410.65 is: 1,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.60 : 3,573.47 = 1,410.65 : x
  2. Step 2: Convert to fraction form
    2,589.60/3,573.47 = 1,410.65/x
  3. Step 3: Cross multiply
    2,589.60x = 3,573.47 × 1,410.65
  4. Step 4: Simplify right side
    2,589.60x = 5,040,915.46
  5. Step 5: Solve for x
    x = 5,040,915.46/2,589.60
  6. Step 6: Final answer
    x = 1,946.60

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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.