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Finding the Fourth Proportional to 2,014.96, 3,023.52 and 860.44

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Solution

The fourth proportional to 2,014.96, 3,023.52 and 860.44 is: 1,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.96 : 3,023.52 = 860.44 : x
  2. Step 2: Convert to fraction form
    2,014.96/3,023.52 = 860.44/x
  3. Step 3: Cross multiply
    2,014.96x = 3,023.52 × 860.44
  4. Step 4: Simplify right side
    2,014.96x = 2,601,549.99
  5. Step 5: Solve for x
    x = 2,601,549.99/2,014.96
  6. Step 6: Final answer
    x = 1,291.12

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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.