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Finding the Fourth Proportional to 3,090.33, 4,634.47 and 1,009.78

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Solution

The fourth proportional to 3,090.33, 4,634.47 and 1,009.78 is: 1,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.33 : 4,634.47 = 1,009.78 : x
  2. Step 2: Convert to fraction form
    3,090.33/4,634.47 = 1,009.78/x
  3. Step 3: Cross multiply
    3,090.33x = 4,634.47 × 1,009.78
  4. Step 4: Simplify right side
    3,090.33x = 4,679,795.12
  5. Step 5: Solve for x
    x = 4,679,795.12/3,090.33
  6. Step 6: Final answer
    x = 1,514.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.