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Finding the Fourth Proportional to 1,972.94, 2,958.84 and 586.22

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Solution

The fourth proportional to 1,972.94, 2,958.84 and 586.22 is: 879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.94 : 2,958.84 = 586.22 : x
  2. Step 2: Convert to fraction form
    1,972.94/2,958.84 = 586.22/x
  3. Step 3: Cross multiply
    1,972.94x = 2,958.84 × 586.22
  4. Step 4: Simplify right side
    1,972.94x = 1,734,531.18
  5. Step 5: Solve for x
    x = 1,734,531.18/1,972.94
  6. Step 6: Final answer
    x = 879.16

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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.