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Finding the Fourth Proportional to 1,706.06, 2,555.37 and 1,045.94

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Solution

The fourth proportional to 1,706.06, 2,555.37 and 1,045.94 is: 1,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.06 : 2,555.37 = 1,045.94 : x
  2. Step 2: Convert to fraction form
    1,706.06/2,555.37 = 1,045.94/x
  3. Step 3: Cross multiply
    1,706.06x = 2,555.37 × 1,045.94
  4. Step 4: Simplify right side
    1,706.06x = 2,672,764.43
  5. Step 5: Solve for x
    x = 2,672,764.43/1,706.06
  6. Step 6: Final answer
    x = 1,566.63

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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.