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Finding the Fourth Proportional to 2,984.46, 4,477.50 and 904.38

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Solution

The fourth proportional to 2,984.46, 4,477.50 and 904.38 is: 1,356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.46 : 4,477.50 = 904.38 : x
  2. Step 2: Convert to fraction form
    2,984.46/4,477.50 = 904.38/x
  3. Step 3: Cross multiply
    2,984.46x = 4,477.50 × 904.38
  4. Step 4: Simplify right side
    2,984.46x = 4,049,361.45
  5. Step 5: Solve for x
    x = 4,049,361.45/2,984.46
  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.