Home / 2,075.49-3,106.28-1,414.64

Finding the Fourth Proportional to 2,075.49, 3,106.28 and 1,414.64

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Solution

The fourth proportional to 2,075.49, 3,106.28 and 1,414.64 is: 2,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.49 : 3,106.28 = 1,414.64 : x
  2. Step 2: Convert to fraction form
    2,075.49/3,106.28 = 1,414.64/x
  3. Step 3: Cross multiply
    2,075.49x = 3,106.28 × 1,414.64
  4. Step 4: Simplify right side
    2,075.49x = 4,394,279.24
  5. Step 5: Solve for x
    x = 4,394,279.24/2,075.49
  6. Step 6: Final answer
    x = 2,117.22

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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.