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Finding the Fourth Proportional to 2,009.57, 2,773.23 and 1,113.34

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Solution

The fourth proportional to 2,009.57, 2,773.23 and 1,113.34 is: 1,536.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.57 : 2,773.23 = 1,113.34 : x
  2. Step 2: Convert to fraction form
    2,009.57/2,773.23 = 1,113.34/x
  3. Step 3: Cross multiply
    2,009.57x = 2,773.23 × 1,113.34
  4. Step 4: Simplify right side
    2,009.57x = 3,087,541.99
  5. Step 5: Solve for x
    x = 3,087,541.99/2,009.57
  6. Step 6: Final answer
    x = 1,536.42

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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.