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Finding the Fourth Proportional to 3,225.96, 4,838.97 and 1,560.81

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Solution

The fourth proportional to 3,225.96, 4,838.97 and 1,560.81 is: 2,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.96 : 4,838.97 = 1,560.81 : x
  2. Step 2: Convert to fraction form
    3,225.96/4,838.97 = 1,560.81/x
  3. Step 3: Cross multiply
    3,225.96x = 4,838.97 × 1,560.81
  4. Step 4: Simplify right side
    3,225.96x = 7,552,712.77
  5. Step 5: Solve for x
    x = 7,552,712.77/3,225.96
  6. Step 6: Final answer
    x = 2,341.23

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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.