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Finding the Fourth Proportional to 2,585.93, 3,568.68 and 1,467

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Solution

The fourth proportional to 2,585.93, 3,568.68 and 1,467 is: 2,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.93 : 3,568.68 = 1,467 : x
  2. Step 2: Convert to fraction form
    2,585.93/3,568.68 = 1,467/x
  3. Step 3: Cross multiply
    2,585.93x = 3,568.68 × 1,467
  4. Step 4: Simplify right side
    2,585.93x = 5,235,253.56
  5. Step 5: Solve for x
    x = 5,235,253.56/2,585.93
  6. Step 6: Final answer
    x = 2,024.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.