Home / 2,384.76-3,577.32-923.80

Finding the Fourth Proportional to 2,384.76, 3,577.32 and 923.80

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Solution

The fourth proportional to 2,384.76, 3,577.32 and 923.80 is: 1,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.76 : 3,577.32 = 923.80 : x
  2. Step 2: Convert to fraction form
    2,384.76/3,577.32 = 923.80/x
  3. Step 3: Cross multiply
    2,384.76x = 3,577.32 × 923.80
  4. Step 4: Simplify right side
    2,384.76x = 3,304,728.22
  5. Step 5: Solve for x
    x = 3,304,728.22/2,384.76
  6. Step 6: Final answer
    x = 1,385.77

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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.