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Finding the Fourth Proportional to 1,705.59, 2,551.41 and 1,211.97

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Solution

The fourth proportional to 1,705.59, 2,551.41 and 1,211.97 is: 1,813.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.59 : 2,551.41 = 1,211.97 : x
  2. Step 2: Convert to fraction form
    1,705.59/2,551.41 = 1,211.97/x
  3. Step 3: Cross multiply
    1,705.59x = 2,551.41 × 1,211.97
  4. Step 4: Simplify right side
    1,705.59x = 3,092,232.38
  5. Step 5: Solve for x
    x = 3,092,232.38/1,705.59
  6. Step 6: Final answer
    x = 1,813.00

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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.