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Finding the Fourth Proportional to 4,243.32, 6,365.62 and 1,470.68

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Solution

The fourth proportional to 4,243.32, 6,365.62 and 1,470.68 is: 2,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.32 : 6,365.62 = 1,470.68 : x
  2. Step 2: Convert to fraction form
    4,243.32/6,365.62 = 1,470.68/x
  3. Step 3: Cross multiply
    4,243.32x = 6,365.62 × 1,470.68
  4. Step 4: Simplify right side
    4,243.32x = 9,361,790.02
  5. Step 5: Solve for x
    x = 9,361,790.02/4,243.32
  6. Step 6: Final answer
    x = 2,206.24

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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.