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Finding the Fourth Proportional to 2,057.56, 2,839.42 and 1,113.34

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Solution

The fourth proportional to 2,057.56, 2,839.42 and 1,113.34 is: 1,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.56 : 2,839.42 = 1,113.34 : x
  2. Step 2: Convert to fraction form
    2,057.56/2,839.42 = 1,113.34/x
  3. Step 3: Cross multiply
    2,057.56x = 2,839.42 × 1,113.34
  4. Step 4: Simplify right side
    2,057.56x = 3,161,239.86
  5. Step 5: Solve for x
    x = 3,161,239.86/2,057.56
  6. Step 6: Final answer
    x = 1,536.40

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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.