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Finding the Fourth Proportional to 1,972.90, 2,959.65 and 674.06

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Solution

The fourth proportional to 1,972.90, 2,959.65 and 674.06 is: 1,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.90 : 2,959.65 = 674.06 : x
  2. Step 2: Convert to fraction form
    1,972.90/2,959.65 = 674.06/x
  3. Step 3: Cross multiply
    1,972.90x = 2,959.65 × 674.06
  4. Step 4: Simplify right side
    1,972.90x = 1,994,989.08
  5. Step 5: Solve for x
    x = 1,994,989.08/1,972.90
  6. Step 6: Final answer
    x = 1,011.20

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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.