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Finding the Fourth Proportional to 1,851.33, 2,776.73 and 552.63

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Solution

The fourth proportional to 1,851.33, 2,776.73 and 552.63 is: 828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.33 : 2,776.73 = 552.63 : x
  2. Step 2: Convert to fraction form
    1,851.33/2,776.73 = 552.63/x
  3. Step 3: Cross multiply
    1,851.33x = 2,776.73 × 552.63
  4. Step 4: Simplify right side
    1,851.33x = 1,534,501.54
  5. Step 5: Solve for x
    x = 1,534,501.54/1,851.33
  6. Step 6: Final answer
    x = 828.86

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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.