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Finding the Fourth Proportional to 3,046.95, 4,570.66 and 855.85

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Solution

The fourth proportional to 3,046.95, 4,570.66 and 855.85 is: 1,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.95 : 4,570.66 = 855.85 : x
  2. Step 2: Convert to fraction form
    3,046.95/4,570.66 = 855.85/x
  3. Step 3: Cross multiply
    3,046.95x = 4,570.66 × 855.85
  4. Step 4: Simplify right side
    3,046.95x = 3,911,799.36
  5. Step 5: Solve for x
    x = 3,911,799.36/3,046.95
  6. Step 6: Final answer
    x = 1,283.84

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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.