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Finding the Fourth Proportional to 3,004.80, 4,507.74 and 1,056.48

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Solution

The fourth proportional to 3,004.80, 4,507.74 and 1,056.48 is: 1,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,004.80 : 4,507.74 = 1,056.48 : x
  2. Step 2: Convert to fraction form
    3,004.80/4,507.74 = 1,056.48/x
  3. Step 3: Cross multiply
    3,004.80x = 4,507.74 × 1,056.48
  4. Step 4: Simplify right side
    3,004.80x = 4,762,337.16
  5. Step 5: Solve for x
    x = 4,762,337.16/3,004.80
  6. Step 6: Final answer
    x = 1,584.91

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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.