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Finding the Fourth Proportional to 1,485.02, 2,049.26 and 821.86

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Solution

The fourth proportional to 1,485.02, 2,049.26 and 821.86 is: 1,134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.02 : 2,049.26 = 821.86 : x
  2. Step 2: Convert to fraction form
    1,485.02/2,049.26 = 821.86/x
  3. Step 3: Cross multiply
    1,485.02x = 2,049.26 × 821.86
  4. Step 4: Simplify right side
    1,485.02x = 1,684,195.59
  5. Step 5: Solve for x
    x = 1,684,195.59/1,485.02
  6. Step 6: Final answer
    x = 1,134.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.