Home / 2,109.60-3,164.40-1,418.40

Finding the Fourth Proportional to 2,109.60, 3,164.40 and 1,418.40

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Solution

The fourth proportional to 2,109.60, 3,164.40 and 1,418.40 is: 2,127.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.60 : 3,164.40 = 1,418.40 : x
  2. Step 2: Convert to fraction form
    2,109.60/3,164.40 = 1,418.40/x
  3. Step 3: Cross multiply
    2,109.60x = 3,164.40 × 1,418.40
  4. Step 4: Simplify right side
    2,109.60x = 4,488,384.96
  5. Step 5: Solve for x
    x = 4,488,384.96/2,109.60
  6. Step 6: Final answer
    x = 2,127.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.