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Finding the Fourth Proportional to 2,085.04, 3,126.93 and 698.05

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Solution

The fourth proportional to 2,085.04, 3,126.93 and 698.05 is: 1,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.04 : 3,126.93 = 698.05 : x
  2. Step 2: Convert to fraction form
    2,085.04/3,126.93 = 698.05/x
  3. Step 3: Cross multiply
    2,085.04x = 3,126.93 × 698.05
  4. Step 4: Simplify right side
    2,085.04x = 2,182,753.49
  5. Step 5: Solve for x
    x = 2,182,753.49/2,085.04
  6. Step 6: Final answer
    x = 1,046.86

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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.