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Finding the Fourth Proportional to 1,584.54, 2,376.95 and 414.54

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Solution

The fourth proportional to 1,584.54, 2,376.95 and 414.54 is: 621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.54 : 2,376.95 = 414.54 : x
  2. Step 2: Convert to fraction form
    1,584.54/2,376.95 = 414.54/x
  3. Step 3: Cross multiply
    1,584.54x = 2,376.95 × 414.54
  4. Step 4: Simplify right side
    1,584.54x = 985,329.87
  5. Step 5: Solve for x
    x = 985,329.87/1,584.54
  6. Step 6: Final answer
    x = 621.84

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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.