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Finding the Fourth Proportional to 2,585.44, 3,568.09 and 1,466.47

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Solution

The fourth proportional to 2,585.44, 3,568.09 and 1,466.47 is: 2,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.44 : 3,568.09 = 1,466.47 : x
  2. Step 2: Convert to fraction form
    2,585.44/3,568.09 = 1,466.47/x
  3. Step 3: Cross multiply
    2,585.44x = 3,568.09 × 1,466.47
  4. Step 4: Simplify right side
    2,585.44x = 5,232,484.36
  5. Step 5: Solve for x
    x = 5,232,484.36/2,585.44
  6. Step 6: Final answer
    x = 2,023.83

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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.