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Finding the Fourth Proportional to 3,096.42, 4,644.14 and 904.64

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Solution

The fourth proportional to 3,096.42, 4,644.14 and 904.64 is: 1,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.42 : 4,644.14 = 904.64 : x
  2. Step 2: Convert to fraction form
    3,096.42/4,644.14 = 904.64/x
  3. Step 3: Cross multiply
    3,096.42x = 4,644.14 × 904.64
  4. Step 4: Simplify right side
    3,096.42x = 4,201,274.81
  5. Step 5: Solve for x
    x = 4,201,274.81/3,096.42
  6. Step 6: Final answer
    x = 1,356.82

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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.