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Finding the Fourth Proportional to 1,784.26, 2,677.23 and 860.26

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Solution

The fourth proportional to 1,784.26, 2,677.23 and 860.26 is: 1,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.26 : 2,677.23 = 860.26 : x
  2. Step 2: Convert to fraction form
    1,784.26/2,677.23 = 860.26/x
  3. Step 3: Cross multiply
    1,784.26x = 2,677.23 × 860.26
  4. Step 4: Simplify right side
    1,784.26x = 2,303,113.88
  5. Step 5: Solve for x
    x = 2,303,113.88/1,784.26
  6. Step 6: Final answer
    x = 1,290.79

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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.