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Finding the Fourth Proportional to 1,977.36, 2,963.90 and 880.21

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Solution

The fourth proportional to 1,977.36, 2,963.90 and 880.21 is: 1,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.36 : 2,963.90 = 880.21 : x
  2. Step 2: Convert to fraction form
    1,977.36/2,963.90 = 880.21/x
  3. Step 3: Cross multiply
    1,977.36x = 2,963.90 × 880.21
  4. Step 4: Simplify right side
    1,977.36x = 2,608,854.42
  5. Step 5: Solve for x
    x = 2,608,854.42/1,977.36
  6. Step 6: Final answer
    x = 1,319.37

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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.