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Finding the Fourth Proportional to 1,523.90, 2,102.86 and 860.75

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Solution

The fourth proportional to 1,523.90, 2,102.86 and 860.75 is: 1,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.90 : 2,102.86 = 860.75 : x
  2. Step 2: Convert to fraction form
    1,523.90/2,102.86 = 860.75/x
  3. Step 3: Cross multiply
    1,523.90x = 2,102.86 × 860.75
  4. Step 4: Simplify right side
    1,523.90x = 1,810,024.08
  5. Step 5: Solve for x
    x = 1,810,024.08/1,523.90
  6. Step 6: Final answer
    x = 1,187.76

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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.