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Finding the Fourth Proportional to 2,775.63, 4,163.42 and 1,852.98

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Solution

The fourth proportional to 2,775.63, 4,163.42 and 1,852.98 is: 2,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.63 : 4,163.42 = 1,852.98 : x
  2. Step 2: Convert to fraction form
    2,775.63/4,163.42 = 1,852.98/x
  3. Step 3: Cross multiply
    2,775.63x = 4,163.42 × 1,852.98
  4. Step 4: Simplify right side
    2,775.63x = 7,714,724.73
  5. Step 5: Solve for x
    x = 7,714,724.73/2,775.63
  6. Step 6: Final answer
    x = 2,779.45

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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.