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Finding the Fourth Proportional to 2,113.05, 3,166.80 and 1,015.23

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Solution

The fourth proportional to 2,113.05, 3,166.80 and 1,015.23 is: 1,521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.05 : 3,166.80 = 1,015.23 : x
  2. Step 2: Convert to fraction form
    2,113.05/3,166.80 = 1,015.23/x
  3. Step 3: Cross multiply
    2,113.05x = 3,166.80 × 1,015.23
  4. Step 4: Simplify right side
    2,113.05x = 3,215,030.36
  5. Step 5: Solve for x
    x = 3,215,030.36/2,113.05
  6. Step 6: Final answer
    x = 1,521.51

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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.