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Finding the Fourth Proportional to 1,706.19, 2,355.42 and 1,149.58

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Solution

The fourth proportional to 1,706.19, 2,355.42 and 1,149.58 is: 1,587.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.19 : 2,355.42 = 1,149.58 : x
  2. Step 2: Convert to fraction form
    1,706.19/2,355.42 = 1,149.58/x
  3. Step 3: Cross multiply
    1,706.19x = 2,355.42 × 1,149.58
  4. Step 4: Simplify right side
    1,706.19x = 2,707,743.72
  5. Step 5: Solve for x
    x = 2,707,743.72/1,706.19
  6. Step 6: Final answer
    x = 1,587.01

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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.