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Finding the Fourth Proportional to 2,184.75, 3,014.10 and 1,439.10

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Solution

The fourth proportional to 2,184.75, 3,014.10 and 1,439.10 is: 1,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.75 : 3,014.10 = 1,439.10 : x
  2. Step 2: Convert to fraction form
    2,184.75/3,014.10 = 1,439.10/x
  3. Step 3: Cross multiply
    2,184.75x = 3,014.10 × 1,439.10
  4. Step 4: Simplify right side
    2,184.75x = 4,337,591.31
  5. Step 5: Solve for x
    x = 4,337,591.31/2,184.75
  6. Step 6: Final answer
    x = 1,985.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.