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Finding the Fourth Proportional to 1,571.48, 2,357.21 and 921.86

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Solution

The fourth proportional to 1,571.48, 2,357.21 and 921.86 is: 1,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.48 : 2,357.21 = 921.86 : x
  2. Step 2: Convert to fraction form
    1,571.48/2,357.21 = 921.86/x
  3. Step 3: Cross multiply
    1,571.48x = 2,357.21 × 921.86
  4. Step 4: Simplify right side
    1,571.48x = 2,173,001.22
  5. Step 5: Solve for x
    x = 2,173,001.22/1,571.48
  6. Step 6: Final answer
    x = 1,382.78

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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.