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Finding the Fourth Proportional to 2,023.14, 3,035.22 and 706.74

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Solution

The fourth proportional to 2,023.14, 3,035.22 and 706.74 is: 1,060.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.14 : 3,035.22 = 706.74 : x
  2. Step 2: Convert to fraction form
    2,023.14/3,035.22 = 706.74/x
  3. Step 3: Cross multiply
    2,023.14x = 3,035.22 × 706.74
  4. Step 4: Simplify right side
    2,023.14x = 2,145,111.38
  5. Step 5: Solve for x
    x = 2,145,111.38/2,023.14
  6. Step 6: Final answer
    x = 1,060.29

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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.