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Finding the Fourth Proportional to 3,411.95, 5,117.94 and 1,220.81

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Solution

The fourth proportional to 3,411.95, 5,117.94 and 1,220.81 is: 1,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.95 : 5,117.94 = 1,220.81 : x
  2. Step 2: Convert to fraction form
    3,411.95/5,117.94 = 1,220.81/x
  3. Step 3: Cross multiply
    3,411.95x = 5,117.94 × 1,220.81
  4. Step 4: Simplify right side
    3,411.95x = 6,248,006.74
  5. Step 5: Solve for x
    x = 6,248,006.74/3,411.95
  6. Step 6: Final answer
    x = 1,831.22

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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.