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Finding the Fourth Proportional to 2,779.70, 4,169.76 and 930.82

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Solution

The fourth proportional to 2,779.70, 4,169.76 and 930.82 is: 1,396.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.70 : 4,169.76 = 930.82 : x
  2. Step 2: Convert to fraction form
    2,779.70/4,169.76 = 930.82/x
  3. Step 3: Cross multiply
    2,779.70x = 4,169.76 × 930.82
  4. Step 4: Simplify right side
    2,779.70x = 3,881,296.00
  5. Step 5: Solve for x
    x = 3,881,296.00/2,779.70
  6. Step 6: Final answer
    x = 1,396.30

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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.