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Finding the Fourth Proportional to 2,184.36, 3,014.20 and 1,300.00

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Solution

The fourth proportional to 2,184.36, 3,014.20 and 1,300.00 is: 1,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.36 : 3,014.20 = 1,300.00 : x
  2. Step 2: Convert to fraction form
    2,184.36/3,014.20 = 1,300.00/x
  3. Step 3: Cross multiply
    2,184.36x = 3,014.20 × 1,300.00
  4. Step 4: Simplify right side
    2,184.36x = 3,918,438.43
  5. Step 5: Solve for x
    x = 3,918,438.43/2,184.36
  6. Step 6: Final answer
    x = 1,793.86

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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.