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Finding the Fourth Proportional to 2,390.86, 3,586.70 and 1,220.68

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Solution

The fourth proportional to 2,390.86, 3,586.70 and 1,220.68 is: 1,831.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.86 : 3,586.70 = 1,220.68 : x
  2. Step 2: Convert to fraction form
    2,390.86/3,586.70 = 1,220.68/x
  3. Step 3: Cross multiply
    2,390.86x = 3,586.70 × 1,220.68
  4. Step 4: Simplify right side
    2,390.86x = 4,378,212.96
  5. Step 5: Solve for x
    x = 4,378,212.96/2,390.86
  6. Step 6: Final answer
    x = 1,831.23

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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.