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Finding the Fourth Proportional to 1,346.55, 1,858.46 and 1,258.71

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Solution

The fourth proportional to 1,346.55, 1,858.46 and 1,258.71 is: 1,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.55 : 1,858.46 = 1,258.71 : x
  2. Step 2: Convert to fraction form
    1,346.55/1,858.46 = 1,258.71/x
  3. Step 3: Cross multiply
    1,346.55x = 1,858.46 × 1,258.71
  4. Step 4: Simplify right side
    1,346.55x = 2,339,255.89
  5. Step 5: Solve for x
    x = 2,339,255.89/1,346.55
  6. Step 6: Final answer
    x = 1,737.22

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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.