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Finding the Fourth Proportional to 4,601.44, 6,900.44 and 1,827.28

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Solution

The fourth proportional to 4,601.44, 6,900.44 and 1,827.28 is: 2,740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.44 : 6,900.44 = 1,827.28 : x
  2. Step 2: Convert to fraction form
    4,601.44/6,900.44 = 1,827.28/x
  3. Step 3: Cross multiply
    4,601.44x = 6,900.44 × 1,827.28
  4. Step 4: Simplify right side
    4,601.44x = 12,609,036.00
  5. Step 5: Solve for x
    x = 12,609,036.00/4,601.44
  6. Step 6: Final answer
    x = 2,740.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.