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Finding the Fourth Proportional to 1,926.02, 2,889.03 and 771.50

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Solution

The fourth proportional to 1,926.02, 2,889.03 and 771.50 is: 1,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.02 : 2,889.03 = 771.50 : x
  2. Step 2: Convert to fraction form
    1,926.02/2,889.03 = 771.50/x
  3. Step 3: Cross multiply
    1,926.02x = 2,889.03 × 771.50
  4. Step 4: Simplify right side
    1,926.02x = 2,228,886.65
  5. Step 5: Solve for x
    x = 2,228,886.65/1,926.02
  6. Step 6: Final answer
    x = 1,157.25

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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.