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Finding the Fourth Proportional to 3,052.88, 4,579.07 and 972.80

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Solution

The fourth proportional to 3,052.88, 4,579.07 and 972.80 is: 1,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.88 : 4,579.07 = 972.80 : x
  2. Step 2: Convert to fraction form
    3,052.88/4,579.07 = 972.80/x
  3. Step 3: Cross multiply
    3,052.88x = 4,579.07 × 972.80
  4. Step 4: Simplify right side
    3,052.88x = 4,454,529.53
  5. Step 5: Solve for x
    x = 4,454,529.53/3,052.88
  6. Step 6: Final answer
    x = 1,459.12

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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.