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Finding the Fourth Proportional to 2,800.32, 4,201.02 and 1,827.24

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Solution

The fourth proportional to 2,800.32, 4,201.02 and 1,827.24 is: 2,741.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.32 : 4,201.02 = 1,827.24 : x
  2. Step 2: Convert to fraction form
    2,800.32/4,201.02 = 1,827.24/x
  3. Step 3: Cross multiply
    2,800.32x = 4,201.02 × 1,827.24
  4. Step 4: Simplify right side
    2,800.32x = 7,676,271.78
  5. Step 5: Solve for x
    x = 7,676,271.78/2,800.32
  6. Step 6: Final answer
    x = 2,741.21

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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.