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Finding the Fourth Proportional to 3,096.42, 4,645.10 and 904.89

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Solution

The fourth proportional to 3,096.42, 4,645.10 and 904.89 is: 1,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.42 : 4,645.10 = 904.89 : x
  2. Step 2: Convert to fraction form
    3,096.42/4,645.10 = 904.89/x
  3. Step 3: Cross multiply
    3,096.42x = 4,645.10 × 904.89
  4. Step 4: Simplify right side
    3,096.42x = 4,203,304.54
  5. Step 5: Solve for x
    x = 4,203,304.54/3,096.42
  6. Step 6: Final answer
    x = 1,357.47

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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.