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Finding the Fourth Proportional to 3,090.24, 4,638 and 1,245

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Solution

The fourth proportional to 3,090.24, 4,638 and 1,245 is: 1,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.24 : 4,638 = 1,245 : x
  2. Step 2: Convert to fraction form
    3,090.24/4,638 = 1,245/x
  3. Step 3: Cross multiply
    3,090.24x = 4,638 × 1,245
  4. Step 4: Simplify right side
    3,090.24x = 5,774,310
  5. Step 5: Solve for x
    x = 5,774,310/3,090.24
  6. Step 6: Final answer
    x = 1,868.56

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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.