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Finding the Fourth Proportional to 2,085.53, 3,128.31 and 698.87

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Solution

The fourth proportional to 2,085.53, 3,128.31 and 698.87 is: 1,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.53 : 3,128.31 = 698.87 : x
  2. Step 2: Convert to fraction form
    2,085.53/3,128.31 = 698.87/x
  3. Step 3: Cross multiply
    2,085.53x = 3,128.31 × 698.87
  4. Step 4: Simplify right side
    2,085.53x = 2,186,289.83
  5. Step 5: Solve for x
    x = 2,186,289.83/2,085.53
  6. Step 6: Final answer
    x = 1,048.32

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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.