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Finding the Fourth Proportional to 2,089.39, 3,133.74 and 773.76

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Solution

The fourth proportional to 2,089.39, 3,133.74 and 773.76 is: 1,160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.39 : 3,133.74 = 773.76 : x
  2. Step 2: Convert to fraction form
    2,089.39/3,133.74 = 773.76/x
  3. Step 3: Cross multiply
    2,089.39x = 3,133.74 × 773.76
  4. Step 4: Simplify right side
    2,089.39x = 2,424,762.66
  5. Step 5: Solve for x
    x = 2,424,762.66/2,089.39
  6. Step 6: Final answer
    x = 1,160.52

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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.