Home / 1,592.84-2,198.49-929.77

Finding the Fourth Proportional to 1,592.84, 2,198.49 and 929.77

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Solution

The fourth proportional to 1,592.84, 2,198.49 and 929.77 is: 1,283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.84 : 2,198.49 = 929.77 : x
  2. Step 2: Convert to fraction form
    1,592.84/2,198.49 = 929.77/x
  3. Step 3: Cross multiply
    1,592.84x = 2,198.49 × 929.77
  4. Step 4: Simplify right side
    1,592.84x = 2,044,090.05
  5. Step 5: Solve for x
    x = 2,044,090.05/1,592.84
  6. Step 6: Final answer
    x = 1,283.30

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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.