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Finding the Fourth Proportional to 2,036.85, 3,055.10 and 575.97

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Solution

The fourth proportional to 2,036.85, 3,055.10 and 575.97 is: 863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.85 : 3,055.10 = 575.97 : x
  2. Step 2: Convert to fraction form
    2,036.85/3,055.10 = 575.97/x
  3. Step 3: Cross multiply
    2,036.85x = 3,055.10 × 575.97
  4. Step 4: Simplify right side
    2,036.85x = 1,759,643.07
  5. Step 5: Solve for x
    x = 1,759,643.07/2,036.85
  6. Step 6: Final answer
    x = 863.90

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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.