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Finding the Fourth Proportional to 1,777.41, 2,665.44 and 852.39

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Solution

The fourth proportional to 1,777.41, 2,665.44 and 852.39 is: 1,278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.41 : 2,665.44 = 852.39 : x
  2. Step 2: Convert to fraction form
    1,777.41/2,665.44 = 852.39/x
  3. Step 3: Cross multiply
    1,777.41x = 2,665.44 × 852.39
  4. Step 4: Simplify right side
    1,777.41x = 2,271,994.40
  5. Step 5: Solve for x
    x = 2,271,994.40/1,777.41
  6. Step 6: Final answer
    x = 1,278.26

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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.