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Finding the Fourth Proportional to 2,015.99, 3,023.85 and 535.19

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Solution

The fourth proportional to 2,015.99, 3,023.85 and 535.19 is: 802.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.99 : 3,023.85 = 535.19 : x
  2. Step 2: Convert to fraction form
    2,015.99/3,023.85 = 535.19/x
  3. Step 3: Cross multiply
    2,015.99x = 3,023.85 × 535.19
  4. Step 4: Simplify right side
    2,015.99x = 1,618,318.16
  5. Step 5: Solve for x
    x = 1,618,318.16/2,015.99
  6. Step 6: Final answer
    x = 802.74

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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.