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Finding the Fourth Proportional to 4,243.77, 6,365.25 and 1,470.51

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Solution

The fourth proportional to 4,243.77, 6,365.25 and 1,470.51 is: 2,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.77 : 6,365.25 = 1,470.51 : x
  2. Step 2: Convert to fraction form
    4,243.77/6,365.25 = 1,470.51/x
  3. Step 3: Cross multiply
    4,243.77x = 6,365.25 × 1,470.51
  4. Step 4: Simplify right side
    4,243.77x = 9,360,163.78
  5. Step 5: Solve for x
    x = 9,360,163.78/4,243.77
  6. Step 6: Final answer
    x = 2,205.62

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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.