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Finding the Fourth Proportional to 2,085.19, 3,127.79 and 698.27

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Solution

The fourth proportional to 2,085.19, 3,127.79 and 698.27 is: 1,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.19 : 3,127.79 = 698.27 : x
  2. Step 2: Convert to fraction form
    2,085.19/3,127.79 = 698.27/x
  3. Step 3: Cross multiply
    2,085.19x = 3,127.79 × 698.27
  4. Step 4: Simplify right side
    2,085.19x = 2,184,043.66
  5. Step 5: Solve for x
    x = 2,184,043.66/2,085.19
  6. Step 6: Final answer
    x = 1,047.41

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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.