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Finding the Fourth Proportional to 1,775.87, 2,659.73 and 852.08

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Solution

The fourth proportional to 1,775.87, 2,659.73 and 852.08 is: 1,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.87 : 2,659.73 = 852.08 : x
  2. Step 2: Convert to fraction form
    1,775.87/2,659.73 = 852.08/x
  3. Step 3: Cross multiply
    1,775.87x = 2,659.73 × 852.08
  4. Step 4: Simplify right side
    1,775.87x = 2,266,285.18
  5. Step 5: Solve for x
    x = 2,266,285.18/1,775.87
  6. Step 6: Final answer
    x = 1,276.16

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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.