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Finding the Fourth Proportional to 3,182.94, 4,779.27 and 2,774.70

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Solution

The fourth proportional to 3,182.94, 4,779.27 and 2,774.70 is: 4,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.94 : 4,779.27 = 2,774.70 : x
  2. Step 2: Convert to fraction form
    3,182.94/4,779.27 = 2,774.70/x
  3. Step 3: Cross multiply
    3,182.94x = 4,779.27 × 2,774.70
  4. Step 4: Simplify right side
    3,182.94x = 13,261,040.47
  5. Step 5: Solve for x
    x = 13,261,040.47/3,182.94
  6. Step 6: Final answer
    x = 4,166.29

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1.5x scale

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.