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Finding the Fourth Proportional to 1,931.80, 2,896.44 and 944.20

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Solution

The fourth proportional to 1,931.80, 2,896.44 and 944.20 is: 1,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.80 : 2,896.44 = 944.20 : x
  2. Step 2: Convert to fraction form
    1,931.80/2,896.44 = 944.20/x
  3. Step 3: Cross multiply
    1,931.80x = 2,896.44 × 944.20
  4. Step 4: Simplify right side
    1,931.80x = 2,734,818.65
  5. Step 5: Solve for x
    x = 2,734,818.65/1,931.80
  6. Step 6: Final answer
    x = 1,415.68

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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.