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Finding the Fourth Proportional to 1,972.76, 2,958.12 and 1,048.82

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Solution

The fourth proportional to 1,972.76, 2,958.12 and 1,048.82 is: 1,572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.76 : 2,958.12 = 1,048.82 : x
  2. Step 2: Convert to fraction form
    1,972.76/2,958.12 = 1,048.82/x
  3. Step 3: Cross multiply
    1,972.76x = 2,958.12 × 1,048.82
  4. Step 4: Simplify right side
    1,972.76x = 3,102,520.63
  5. Step 5: Solve for x
    x = 3,102,520.63/1,972.76
  6. Step 6: Final answer
    x = 1,572.68

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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.