Home / 2,970.39-4,098.97-1,644.09

Finding the Fourth Proportional to 2,970.39, 4,098.97 and 1,644.09

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Solution

The fourth proportional to 2,970.39, 4,098.97 and 1,644.09 is: 2,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.39 : 4,098.97 = 1,644.09 : x
  2. Step 2: Convert to fraction form
    2,970.39/4,098.97 = 1,644.09/x
  3. Step 3: Cross multiply
    2,970.39x = 4,098.97 × 1,644.09
  4. Step 4: Simplify right side
    2,970.39x = 6,739,075.59
  5. Step 5: Solve for x
    x = 6,739,075.59/2,970.39
  6. Step 6: Final answer
    x = 2,268.75

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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.