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Finding the Fourth Proportional to 1,706.39, 2,355.98 and 1,258.31

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Solution

The fourth proportional to 1,706.39, 2,355.98 and 1,258.31 is: 1,737.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.39 : 2,355.98 = 1,258.31 : x
  2. Step 2: Convert to fraction form
    1,706.39/2,355.98 = 1,258.31/x
  3. Step 3: Cross multiply
    1,706.39x = 2,355.98 × 1,258.31
  4. Step 4: Simplify right side
    1,706.39x = 2,964,562.23
  5. Step 5: Solve for x
    x = 2,964,562.23/1,706.39
  6. Step 6: Final answer
    x = 1,737.33

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Why These Related Problems?

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