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Finding the Fourth Proportional to 2,802.95, 4,205.05 and 855.31

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Solution

The fourth proportional to 2,802.95, 4,205.05 and 855.31 is: 1,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.95 : 4,205.05 = 855.31 : x
  2. Step 2: Convert to fraction form
    2,802.95/4,205.05 = 855.31/x
  3. Step 3: Cross multiply
    2,802.95x = 4,205.05 × 855.31
  4. Step 4: Simplify right side
    2,802.95x = 3,596,608.66
  5. Step 5: Solve for x
    x = 3,596,608.66/2,802.95
  6. Step 6: Final answer
    x = 1,283.15

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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.