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Finding the Fourth Proportional to 1,975.44, 2,963.12 and 1,855.16

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Solution

The fourth proportional to 1,975.44, 2,963.12 and 1,855.16 is: 2,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.44 : 2,963.12 = 1,855.16 : x
  2. Step 2: Convert to fraction form
    1,975.44/2,963.12 = 1,855.16/x
  3. Step 3: Cross multiply
    1,975.44x = 2,963.12 × 1,855.16
  4. Step 4: Simplify right side
    1,975.44x = 5,497,061.70
  5. Step 5: Solve for x
    x = 5,497,061.70/1,975.44
  6. Step 6: Final answer
    x = 2,782.70

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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.