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Finding the Fourth Proportional to 2,014.23, 3,020.27 and 715.53

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Solution

The fourth proportional to 2,014.23, 3,020.27 and 715.53 is: 1,072.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.23 : 3,020.27 = 715.53 : x
  2. Step 2: Convert to fraction form
    2,014.23/3,020.27 = 715.53/x
  3. Step 3: Cross multiply
    2,014.23x = 3,020.27 × 715.53
  4. Step 4: Simplify right side
    2,014.23x = 2,161,090.22
  5. Step 5: Solve for x
    x = 2,161,090.22/2,014.23
  6. Step 6: Final answer
    x = 1,072.91

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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.