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Finding the Fourth Proportional to 3,056.80, 4,585.20 and 1,412.86

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Solution

The fourth proportional to 3,056.80, 4,585.20 and 1,412.86 is: 2,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.80 : 4,585.20 = 1,412.86 : x
  2. Step 2: Convert to fraction form
    3,056.80/4,585.20 = 1,412.86/x
  3. Step 3: Cross multiply
    3,056.80x = 4,585.20 × 1,412.86
  4. Step 4: Simplify right side
    3,056.80x = 6,478,245.67
  5. Step 5: Solve for x
    x = 6,478,245.67/3,056.80
  6. Step 6: Final answer
    x = 2,119.29

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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.