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Finding the Fourth Proportional to 1,973.23, 2,959.85 and 512.38

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Solution

The fourth proportional to 1,973.23, 2,959.85 and 512.38 is: 768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.23 : 2,959.85 = 512.38 : x
  2. Step 2: Convert to fraction form
    1,973.23/2,959.85 = 512.38/x
  3. Step 3: Cross multiply
    1,973.23x = 2,959.85 × 512.38
  4. Step 4: Simplify right side
    1,973.23x = 1,516,557.98
  5. Step 5: Solve for x
    x = 1,516,557.98/1,973.23
  6. Step 6: Final answer
    x = 768.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.