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Finding the Fourth Proportional to 1,245.54, 1,868.31 and 1,158.06

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Solution

The fourth proportional to 1,245.54, 1,868.31 and 1,158.06 is: 1,737.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.54 : 1,868.31 = 1,158.06 : x
  2. Step 2: Convert to fraction form
    1,245.54/1,868.31 = 1,158.06/x
  3. Step 3: Cross multiply
    1,245.54x = 1,868.31 × 1,158.06
  4. Step 4: Simplify right side
    1,245.54x = 2,163,615.08
  5. Step 5: Solve for x
    x = 2,163,615.08/1,245.54
  6. Step 6: Final answer
    x = 1,737.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.