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Finding the Fourth Proportional to 2,053.72, 2,833.14 and 1,306.84

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Solution

The fourth proportional to 2,053.72, 2,833.14 and 1,306.84 is: 1,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.72 : 2,833.14 = 1,306.84 : x
  2. Step 2: Convert to fraction form
    2,053.72/2,833.14 = 1,306.84/x
  3. Step 3: Cross multiply
    2,053.72x = 2,833.14 × 1,306.84
  4. Step 4: Simplify right side
    2,053.72x = 3,702,460.68
  5. Step 5: Solve for x
    x = 3,702,460.68/2,053.72
  6. Step 6: Final answer
    x = 1,802.81

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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.