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Finding the Fourth Proportional to 2,014.19, 3,020.74 and 552.99

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Solution

The fourth proportional to 2,014.19, 3,020.74 and 552.99 is: 829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.19 : 3,020.74 = 552.99 : x
  2. Step 2: Convert to fraction form
    2,014.19/3,020.74 = 552.99/x
  3. Step 3: Cross multiply
    2,014.19x = 3,020.74 × 552.99
  4. Step 4: Simplify right side
    2,014.19x = 1,670,437.63
  5. Step 5: Solve for x
    x = 1,670,437.63/2,014.19
  6. Step 6: Final answer
    x = 829.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.