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Finding the Fourth Proportional to 2,529.93, 3,794.75 and 970.68

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Solution

The fourth proportional to 2,529.93, 3,794.75 and 970.68 is: 1,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.93 : 3,794.75 = 970.68 : x
  2. Step 2: Convert to fraction form
    2,529.93/3,794.75 = 970.68/x
  3. Step 3: Cross multiply
    2,529.93x = 3,794.75 × 970.68
  4. Step 4: Simplify right side
    2,529.93x = 3,683,500.95
  5. Step 5: Solve for x
    x = 3,683,500.95/2,529.93
  6. Step 6: Final answer
    x = 1,455.97

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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.