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Finding the Fourth Proportional to 2,023.62, 3,034.62 and 854.16

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Solution

The fourth proportional to 2,023.62, 3,034.62 and 854.16 is: 1,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.62 : 3,034.62 = 854.16 : x
  2. Step 2: Convert to fraction form
    2,023.62/3,034.62 = 854.16/x
  3. Step 3: Cross multiply
    2,023.62x = 3,034.62 × 854.16
  4. Step 4: Simplify right side
    2,023.62x = 2,592,051.02
  5. Step 5: Solve for x
    x = 2,592,051.02/2,023.62
  6. Step 6: Final answer
    x = 1,280.90

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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.