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Finding the Fourth Proportional to 2,014.71, 3,020.93 and 697.76

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Solution

The fourth proportional to 2,014.71, 3,020.93 and 697.76 is: 1,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.71 : 3,020.93 = 697.76 : x
  2. Step 2: Convert to fraction form
    2,014.71/3,020.93 = 697.76/x
  3. Step 3: Cross multiply
    2,014.71x = 3,020.93 × 697.76
  4. Step 4: Simplify right side
    2,014.71x = 2,107,884.12
  5. Step 5: Solve for x
    x = 2,107,884.12/2,014.71
  6. Step 6: Final answer
    x = 1,046.25

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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.