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Finding the Fourth Proportional to 1,896.76, 2,845.80 and 972.75

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Solution

The fourth proportional to 1,896.76, 2,845.80 and 972.75 is: 1,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.76 : 2,845.80 = 972.75 : x
  2. Step 2: Convert to fraction form
    1,896.76/2,845.80 = 972.75/x
  3. Step 3: Cross multiply
    1,896.76x = 2,845.80 × 972.75
  4. Step 4: Simplify right side
    1,896.76x = 2,768,251.95
  5. Step 5: Solve for x
    x = 2,768,251.95/1,896.76
  6. Step 6: Final answer
    x = 1,459.47

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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.