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Finding the Fourth Proportional to 2,190.93, 3,022.70 and 1,405.41

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Solution

The fourth proportional to 2,190.93, 3,022.70 and 1,405.41 is: 1,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.93 : 3,022.70 = 1,405.41 : x
  2. Step 2: Convert to fraction form
    2,190.93/3,022.70 = 1,405.41/x
  3. Step 3: Cross multiply
    2,190.93x = 3,022.70 × 1,405.41
  4. Step 4: Simplify right side
    2,190.93x = 4,248,117.69
  5. Step 5: Solve for x
    x = 4,248,117.69/2,190.93
  6. Step 6: Final answer
    x = 1,938.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.