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Finding the Fourth Proportional to 1,584.91, 2,377.51 and 414.91

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Solution

The fourth proportional to 1,584.91, 2,377.51 and 414.91 is: 622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.91 : 2,377.51 = 414.91 : x
  2. Step 2: Convert to fraction form
    1,584.91/2,377.51 = 414.91/x
  3. Step 3: Cross multiply
    1,584.91x = 2,377.51 × 414.91
  4. Step 4: Simplify right side
    1,584.91x = 986,454.61
  5. Step 5: Solve for x
    x = 986,454.61/1,584.91
  6. Step 6: Final answer
    x = 622.40

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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.