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Finding the Fourth Proportional to 1,706.21, 2,355.47 and 1,149.60

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Solution

The fourth proportional to 1,706.21, 2,355.47 and 1,149.60 is: 1,587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.21 : 2,355.47 = 1,149.60 : x
  2. Step 2: Convert to fraction form
    1,706.21/2,355.47 = 1,149.60/x
  3. Step 3: Cross multiply
    1,706.21x = 2,355.47 × 1,149.60
  4. Step 4: Simplify right side
    1,706.21x = 2,707,842.56
  5. Step 5: Solve for x
    x = 2,707,842.56/1,706.21
  6. Step 6: Final answer
    x = 1,587.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.