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Finding the Fourth Proportional to 3,002.88, 4,507.20 and 1,705.44

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Solution

The fourth proportional to 3,002.88, 4,507.20 and 1,705.44 is: 2,559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.88 : 4,507.20 = 1,705.44 : x
  2. Step 2: Convert to fraction form
    3,002.88/4,507.20 = 1,705.44/x
  3. Step 3: Cross multiply
    3,002.88x = 4,507.20 × 1,705.44
  4. Step 4: Simplify right side
    3,002.88x = 7,686,759.17
  5. Step 5: Solve for x
    x = 7,686,759.17/3,002.88
  6. Step 6: Final answer
    x = 2,559.80

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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.