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Finding the Fourth Proportional to 2,710.27, 4,065.36 and 1,065.66

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Solution

The fourth proportional to 2,710.27, 4,065.36 and 1,065.66 is: 1,598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.27 : 4,065.36 = 1,065.66 : x
  2. Step 2: Convert to fraction form
    2,710.27/4,065.36 = 1,065.66/x
  3. Step 3: Cross multiply
    2,710.27x = 4,065.36 × 1,065.66
  4. Step 4: Simplify right side
    2,710.27x = 4,332,291.54
  5. Step 5: Solve for x
    x = 4,332,291.54/2,710.27
  6. Step 6: Final answer
    x = 1,598.47

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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.