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Finding the Fourth Proportional to 1,970.71, 2,956.04 and 584.05

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Solution

The fourth proportional to 1,970.71, 2,956.04 and 584.05 is: 876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.71 : 2,956.04 = 584.05 : x
  2. Step 2: Convert to fraction form
    1,970.71/2,956.04 = 584.05/x
  3. Step 3: Cross multiply
    1,970.71x = 2,956.04 × 584.05
  4. Step 4: Simplify right side
    1,970.71x = 1,726,469.23
  5. Step 5: Solve for x
    x = 1,726,469.23/1,970.71
  6. Step 6: Final answer
    x = 876.07

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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.