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Finding the Fourth Proportional to 1,970.82, 2,956.23 and 509.97

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Solution

The fourth proportional to 1,970.82, 2,956.23 and 509.97 is: 764.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.82 : 2,956.23 = 509.97 : x
  2. Step 2: Convert to fraction form
    1,970.82/2,956.23 = 509.97/x
  3. Step 3: Cross multiply
    1,970.82x = 2,956.23 × 509.97
  4. Step 4: Simplify right side
    1,970.82x = 1,507,588.61
  5. Step 5: Solve for x
    x = 1,507,588.61/1,970.82
  6. Step 6: Final answer
    x = 764.96

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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.