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Finding the Fourth Proportional to 2,585.70, 3,569.97 and 1,592.70

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Solution

The fourth proportional to 2,585.70, 3,569.97 and 1,592.70 is: 2,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.70 : 3,569.97 = 1,592.70 : x
  2. Step 2: Convert to fraction form
    2,585.70/3,569.97 = 1,592.70/x
  3. Step 3: Cross multiply
    2,585.70x = 3,569.97 × 1,592.70
  4. Step 4: Simplify right side
    2,585.70x = 5,685,891.22
  5. Step 5: Solve for x
    x = 5,685,891.22/2,585.70
  6. Step 6: Final answer
    x = 2,198.98

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1.5x scale

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.