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Finding the Fourth Proportional to 1,458.27, 2,187.54 and 969.84

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Solution

The fourth proportional to 1,458.27, 2,187.54 and 969.84 is: 1,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.27 : 2,187.54 = 969.84 : x
  2. Step 2: Convert to fraction form
    1,458.27/2,187.54 = 969.84/x
  3. Step 3: Cross multiply
    1,458.27x = 2,187.54 × 969.84
  4. Step 4: Simplify right side
    1,458.27x = 2,121,563.79
  5. Step 5: Solve for x
    x = 2,121,563.79/1,458.27
  6. Step 6: Final answer
    x = 1,454.85

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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.