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Finding the Fourth Proportional to 1,981.05, 2,971.62 and 520.35

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Solution

The fourth proportional to 1,981.05, 2,971.62 and 520.35 is: 780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.05 : 2,971.62 = 520.35 : x
  2. Step 2: Convert to fraction form
    1,981.05/2,971.62 = 520.35/x
  3. Step 3: Cross multiply
    1,981.05x = 2,971.62 × 520.35
  4. Step 4: Simplify right side
    1,981.05x = 1,546,282.47
  5. Step 5: Solve for x
    x = 1,546,282.47/1,981.05
  6. Step 6: Final answer
    x = 780.54

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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.