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Finding the Fourth Proportional to 1,705.08, 2,559.87 and 1,434.54

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Solution

The fourth proportional to 1,705.08, 2,559.87 and 1,434.54 is: 2,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.08 : 2,559.87 = 1,434.54 : x
  2. Step 2: Convert to fraction form
    1,705.08/2,559.87 = 1,434.54/x
  3. Step 3: Cross multiply
    1,705.08x = 2,559.87 × 1,434.54
  4. Step 4: Simplify right side
    1,705.08x = 3,672,235.91
  5. Step 5: Solve for x
    x = 3,672,235.91/1,705.08
  6. Step 6: Final answer
    x = 2,153.70

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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.