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Finding the Fourth Proportional to 2,754.87, 4,130.93 and 1,584.56

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Solution

The fourth proportional to 2,754.87, 4,130.93 and 1,584.56 is: 2,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.87 : 4,130.93 = 1,584.56 : x
  2. Step 2: Convert to fraction form
    2,754.87/4,130.93 = 1,584.56/x
  3. Step 3: Cross multiply
    2,754.87x = 4,130.93 × 1,584.56
  4. Step 4: Simplify right side
    2,754.87x = 6,545,720.73
  5. Step 5: Solve for x
    x = 6,545,720.73/2,754.87
  6. Step 6: Final answer
    x = 2,376.06

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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.