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Finding the Fourth Proportional to 2,184.56, 3,014.38 and 1,300.72

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Solution

The fourth proportional to 2,184.56, 3,014.38 and 1,300.72 is: 1,794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.56 : 3,014.38 = 1,300.72 : x
  2. Step 2: Convert to fraction form
    2,184.56/3,014.38 = 1,300.72/x
  3. Step 3: Cross multiply
    2,184.56x = 3,014.38 × 1,300.72
  4. Step 4: Simplify right side
    2,184.56x = 3,920,864.35
  5. Step 5: Solve for x
    x = 3,920,864.35/2,184.56
  6. Step 6: Final answer
    x = 1,794.81

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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.