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Finding the Fourth Proportional to 2,384.94, 3,577.41 and 997.95

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Solution

The fourth proportional to 2,384.94, 3,577.41 and 997.95 is: 1,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.94 : 3,577.41 = 997.95 : x
  2. Step 2: Convert to fraction form
    2,384.94/3,577.41 = 997.95/x
  3. Step 3: Cross multiply
    2,384.94x = 3,577.41 × 997.95
  4. Step 4: Simplify right side
    2,384.94x = 3,570,076.31
  5. Step 5: Solve for x
    x = 3,570,076.31/2,384.94
  6. Step 6: Final answer
    x = 1,496.93

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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.