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Finding the Fourth Proportional to 2,802.56, 3,860.24 and 2,132.96

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Solution

The fourth proportional to 2,802.56, 3,860.24 and 2,132.96 is: 2,937.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.56 : 3,860.24 = 2,132.96 : x
  2. Step 2: Convert to fraction form
    2,802.56/3,860.24 = 2,132.96/x
  3. Step 3: Cross multiply
    2,802.56x = 3,860.24 × 2,132.96
  4. Step 4: Simplify right side
    2,802.56x = 8,233,737.51
  5. Step 5: Solve for x
    x = 8,233,737.51/2,802.56
  6. Step 6: Final answer
    x = 2,937.93

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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.