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Finding the Fourth Proportional to 1,706.41, 2,559.61 and 1,129.15

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Solution

The fourth proportional to 1,706.41, 2,559.61 and 1,129.15 is: 1,693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.41 : 2,559.61 = 1,129.15 : x
  2. Step 2: Convert to fraction form
    1,706.41/2,559.61 = 1,129.15/x
  3. Step 3: Cross multiply
    1,706.41x = 2,559.61 × 1,129.15
  4. Step 4: Simplify right side
    1,706.41x = 2,890,183.63
  5. Step 5: Solve for x
    x = 2,890,183.63/1,706.41
  6. Step 6: Final answer
    x = 1,693.72

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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.