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Finding the Fourth Proportional to 2,027.07, 3,040.75 and 710.67

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Solution

The fourth proportional to 2,027.07, 3,040.75 and 710.67 is: 1,066.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.07 : 3,040.75 = 710.67 : x
  2. Step 2: Convert to fraction form
    2,027.07/3,040.75 = 710.67/x
  3. Step 3: Cross multiply
    2,027.07x = 3,040.75 × 710.67
  4. Step 4: Simplify right side
    2,027.07x = 2,160,969.80
  5. Step 5: Solve for x
    x = 2,160,969.80/2,027.07
  6. Step 6: Final answer
    x = 1,066.06

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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.