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Finding the Fourth Proportional to 1,970.86, 2,956.34 and 584.21

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Solution

The fourth proportional to 1,970.86, 2,956.34 and 584.21 is: 876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.86 : 2,956.34 = 584.21 : x
  2. Step 2: Convert to fraction form
    1,970.86/2,956.34 = 584.21/x
  3. Step 3: Cross multiply
    1,970.86x = 2,956.34 × 584.21
  4. Step 4: Simplify right side
    1,970.86x = 1,727,127.86
  5. Step 5: Solve for x
    x = 1,727,127.86/1,970.86
  6. Step 6: Final answer
    x = 876.33

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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.