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Finding the Fourth Proportional to 2,085.98, 3,128.98 and 605.24

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Solution

The fourth proportional to 2,085.98, 3,128.98 and 605.24 is: 907.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.98 : 3,128.98 = 605.24 : x
  2. Step 2: Convert to fraction form
    2,085.98/3,128.98 = 605.24/x
  3. Step 3: Cross multiply
    2,085.98x = 3,128.98 × 605.24
  4. Step 4: Simplify right side
    2,085.98x = 1,893,783.86
  5. Step 5: Solve for x
    x = 1,893,783.86/2,085.98
  6. Step 6: Final answer
    x = 907.86

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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.