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Finding the Fourth Proportional to 2,923.42, 4,384.65 and 842.95

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Solution

The fourth proportional to 2,923.42, 4,384.65 and 842.95 is: 1,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.42 : 4,384.65 = 842.95 : x
  2. Step 2: Convert to fraction form
    2,923.42/4,384.65 = 842.95/x
  3. Step 3: Cross multiply
    2,923.42x = 4,384.65 × 842.95
  4. Step 4: Simplify right side
    2,923.42x = 3,696,040.72
  5. Step 5: Solve for x
    x = 3,696,040.72/2,923.42
  6. Step 6: Final answer
    x = 1,264.29

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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.