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Finding the Fourth Proportional to 1,973.48, 2,959.97 and 512.51

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Solution

The fourth proportional to 1,973.48, 2,959.97 and 512.51 is: 768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.48 : 2,959.97 = 512.51 : x
  2. Step 2: Convert to fraction form
    1,973.48/2,959.97 = 512.51/x
  3. Step 3: Cross multiply
    1,973.48x = 2,959.97 × 512.51
  4. Step 4: Simplify right side
    1,973.48x = 1,516,996.86
  5. Step 5: Solve for x
    x = 1,516,996.86/1,973.48
  6. Step 6: Final answer
    x = 768.69

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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.