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Finding the Fourth Proportional to 3,005.60, 4,507.20 and 1,056.80

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Solution

The fourth proportional to 3,005.60, 4,507.20 and 1,056.80 is: 1,584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.60 : 4,507.20 = 1,056.80 : x
  2. Step 2: Convert to fraction form
    3,005.60/4,507.20 = 1,056.80/x
  3. Step 3: Cross multiply
    3,005.60x = 4,507.20 × 1,056.80
  4. Step 4: Simplify right side
    3,005.60x = 4,763,208.96
  5. Step 5: Solve for x
    x = 4,763,208.96/3,005.60
  6. Step 6: Final answer
    x = 1,584.78

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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.