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Finding the Fourth Proportional to 2,534.72, 3,493.14 and 2,030

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Solution

The fourth proportional to 2,534.72, 3,493.14 and 2,030 is: 2,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.72 : 3,493.14 = 2,030 : x
  2. Step 2: Convert to fraction form
    2,534.72/3,493.14 = 2,030/x
  3. Step 3: Cross multiply
    2,534.72x = 3,493.14 × 2,030
  4. Step 4: Simplify right side
    2,534.72x = 7,091,074.20
  5. Step 5: Solve for x
    x = 7,091,074.20/2,534.72
  6. Step 6: Final answer
    x = 2,797.58

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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.