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Finding the Fourth Proportional to 1,684.59, 2,522.97 and 860.82

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Solution

The fourth proportional to 1,684.59, 2,522.97 and 860.82 is: 1,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.59 : 2,522.97 = 860.82 : x
  2. Step 2: Convert to fraction form
    1,684.59/2,522.97 = 860.82/x
  3. Step 3: Cross multiply
    1,684.59x = 2,522.97 × 860.82
  4. Step 4: Simplify right side
    1,684.59x = 2,171,823.04
  5. Step 5: Solve for x
    x = 2,171,823.04/1,684.59
  6. Step 6: Final answer
    x = 1,289.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.