Home / 2,292.84-3,164.31-1,409.13

Finding the Fourth Proportional to 2,292.84, 3,164.31 and 1,409.13

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Solution

The fourth proportional to 2,292.84, 3,164.31 and 1,409.13 is: 1,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.84 : 3,164.31 = 1,409.13 : x
  2. Step 2: Convert to fraction form
    2,292.84/3,164.31 = 1,409.13/x
  3. Step 3: Cross multiply
    2,292.84x = 3,164.31 × 1,409.13
  4. Step 4: Simplify right side
    2,292.84x = 4,458,924.15
  5. Step 5: Solve for x
    x = 4,458,924.15/2,292.84
  6. Step 6: Final answer
    x = 1,944.72

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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.