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Finding the Fourth Proportional to 3,056.66, 4,584.98 and 1,412.90

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Solution

The fourth proportional to 3,056.66, 4,584.98 and 1,412.90 is: 2,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.66 : 4,584.98 = 1,412.90 : x
  2. Step 2: Convert to fraction form
    3,056.66/4,584.98 = 1,412.90/x
  3. Step 3: Cross multiply
    3,056.66x = 4,584.98 × 1,412.90
  4. Step 4: Simplify right side
    3,056.66x = 6,478,098.85
  5. Step 5: Solve for x
    x = 6,478,098.85/3,056.66
  6. Step 6: Final answer
    x = 2,119.34

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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.