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Finding the Fourth Proportional to 2,190, 3,023.57 and 1,405.41

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Solution

The fourth proportional to 2,190, 3,023.57 and 1,405.41 is: 1,940.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190 : 3,023.57 = 1,405.41 : x
  2. Step 2: Convert to fraction form
    2,190/3,023.57 = 1,405.41/x
  3. Step 3: Cross multiply
    2,190x = 3,023.57 × 1,405.41
  4. Step 4: Simplify right side
    2,190x = 4,249,355.51
  5. Step 5: Solve for x
    x = 4,249,355.51/2,190
  6. Step 6: Final answer
    x = 1,940.34

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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.