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Finding the Fourth Proportional to 2,585.99, 3,568.11 and 1,466.84

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Solution

The fourth proportional to 2,585.99, 3,568.11 and 1,466.84 is: 2,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.99 : 3,568.11 = 1,466.84 : x
  2. Step 2: Convert to fraction form
    2,585.99/3,568.11 = 1,466.84/x
  3. Step 3: Cross multiply
    2,585.99x = 3,568.11 × 1,466.84
  4. Step 4: Simplify right side
    2,585.99x = 5,233,846.47
  5. Step 5: Solve for x
    x = 5,233,846.47/2,585.99
  6. Step 6: Final answer
    x = 2,023.92

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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.