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Finding the Fourth Proportional to 1,972.42, 2,958.63 and 1,852.13

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Solution

The fourth proportional to 1,972.42, 2,958.63 and 1,852.13 is: 2,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.42 : 2,958.63 = 1,852.13 : x
  2. Step 2: Convert to fraction form
    1,972.42/2,958.63 = 1,852.13/x
  3. Step 3: Cross multiply
    1,972.42x = 2,958.63 × 1,852.13
  4. Step 4: Simplify right side
    1,972.42x = 5,479,767.83
  5. Step 5: Solve for x
    x = 5,479,767.83/1,972.42
  6. Step 6: Final answer
    x = 2,778.20

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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.