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Finding the Fourth Proportional to 1,984.09, 2,972.17 and 945.10

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Solution

The fourth proportional to 1,984.09, 2,972.17 and 945.10 is: 1,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.09 : 2,972.17 = 945.10 : x
  2. Step 2: Convert to fraction form
    1,984.09/2,972.17 = 945.10/x
  3. Step 3: Cross multiply
    1,984.09x = 2,972.17 × 945.10
  4. Step 4: Simplify right side
    1,984.09x = 2,808,997.87
  5. Step 5: Solve for x
    x = 2,808,997.87/1,984.09
  6. Step 6: Final answer
    x = 1,415.76

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1.5x scale

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.