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Finding the Fourth Proportional to 2,808.90, 4,212.14 and 1,423.80

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Solution

The fourth proportional to 2,808.90, 4,212.14 and 1,423.80 is: 2,135.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.90 : 4,212.14 = 1,423.80 : x
  2. Step 2: Convert to fraction form
    2,808.90/4,212.14 = 1,423.80/x
  3. Step 3: Cross multiply
    2,808.90x = 4,212.14 × 1,423.80
  4. Step 4: Simplify right side
    2,808.90x = 5,997,237.81
  5. Step 5: Solve for x
    x = 5,997,237.81/2,808.90
  6. Step 6: Final answer
    x = 2,135.08

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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.