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Finding the Fourth Proportional to 2,014.16, 3,020.91 and 552.98

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Solution

The fourth proportional to 2,014.16, 3,020.91 and 552.98 is: 829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.16 : 3,020.91 = 552.98 : x
  2. Step 2: Convert to fraction form
    2,014.16/3,020.91 = 552.98/x
  3. Step 3: Cross multiply
    2,014.16x = 3,020.91 × 552.98
  4. Step 4: Simplify right side
    2,014.16x = 1,670,487.71
  5. Step 5: Solve for x
    x = 1,670,487.71/2,014.16
  6. Step 6: Final answer
    x = 829.37

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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.