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Finding the Fourth Proportional to 1,852.75, 2,779.14 and 826.75

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Solution

The fourth proportional to 1,852.75, 2,779.14 and 826.75 is: 1,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.75 : 2,779.14 = 826.75 : x
  2. Step 2: Convert to fraction form
    1,852.75/2,779.14 = 826.75/x
  3. Step 3: Cross multiply
    1,852.75x = 2,779.14 × 826.75
  4. Step 4: Simplify right side
    1,852.75x = 2,297,654.00
  5. Step 5: Solve for x
    x = 2,297,654.00/1,852.75
  6. Step 6: Final answer
    x = 1,240.13

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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.