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Finding the Fourth Proportional to 2,133.96, 2,944 and 1,306.44

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Solution

The fourth proportional to 2,133.96, 2,944 and 1,306.44 is: 1,802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.96 : 2,944 = 1,306.44 : x
  2. Step 2: Convert to fraction form
    2,133.96/2,944 = 1,306.44/x
  3. Step 3: Cross multiply
    2,133.96x = 2,944 × 1,306.44
  4. Step 4: Simplify right side
    2,133.96x = 3,846,159.36
  5. Step 5: Solve for x
    x = 3,846,159.36/2,133.96
  6. Step 6: Final answer
    x = 1,802.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.