Home / 1,342.10-2,013.24-692.48

Finding the Fourth Proportional to 1,342.10, 2,013.24 and 692.48

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Solution

The fourth proportional to 1,342.10, 2,013.24 and 692.48 is: 1,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.10 : 2,013.24 = 692.48 : x
  2. Step 2: Convert to fraction form
    1,342.10/2,013.24 = 692.48/x
  3. Step 3: Cross multiply
    1,342.10x = 2,013.24 × 692.48
  4. Step 4: Simplify right side
    1,342.10x = 1,394,128.44
  5. Step 5: Solve for x
    x = 1,394,128.44/1,342.10
  6. Step 6: Final answer
    x = 1,038.77

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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.