Home / 1,536.84-2,294.11-1,422.64

Finding the Fourth Proportional to 1,536.84, 2,294.11 and 1,422.64

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Solution

The fourth proportional to 1,536.84, 2,294.11 and 1,422.64 is: 2,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.84 : 2,294.11 = 1,422.64 : x
  2. Step 2: Convert to fraction form
    1,536.84/2,294.11 = 1,422.64/x
  3. Step 3: Cross multiply
    1,536.84x = 2,294.11 × 1,422.64
  4. Step 4: Simplify right side
    1,536.84x = 3,263,692.65
  5. Step 5: Solve for x
    x = 3,263,692.65/1,536.84
  6. Step 6: Final answer
    x = 2,123.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.