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Finding the Fourth Proportional to 1,971.71, 2,956.65 and 584.55

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Solution

The fourth proportional to 1,971.71, 2,956.65 and 584.55 is: 876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.71 : 2,956.65 = 584.55 : x
  2. Step 2: Convert to fraction form
    1,971.71/2,956.65 = 584.55/x
  3. Step 3: Cross multiply
    1,971.71x = 2,956.65 × 584.55
  4. Step 4: Simplify right side
    1,971.71x = 1,728,309.76
  5. Step 5: Solve for x
    x = 1,728,309.76/1,971.71
  6. Step 6: Final answer
    x = 876.56

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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.