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Finding the Fourth Proportional to 1,584.94, 2,377.54 and 545

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Solution

The fourth proportional to 1,584.94, 2,377.54 and 545 is: 817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.94 : 2,377.54 = 545 : x
  2. Step 2: Convert to fraction form
    1,584.94/2,377.54 = 545/x
  3. Step 3: Cross multiply
    1,584.94x = 2,377.54 × 545
  4. Step 4: Simplify right side
    1,584.94x = 1,295,759.30
  5. Step 5: Solve for x
    x = 1,295,759.30/1,584.94
  6. Step 6: Final answer
    x = 817.54

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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.