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Finding the Fourth Proportional to 2,813.45, 3,883.04 and 1,635.20

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Solution

The fourth proportional to 2,813.45, 3,883.04 and 1,635.20 is: 2,256.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.45 : 3,883.04 = 1,635.20 : x
  2. Step 2: Convert to fraction form
    2,813.45/3,883.04 = 1,635.20/x
  3. Step 3: Cross multiply
    2,813.45x = 3,883.04 × 1,635.20
  4. Step 4: Simplify right side
    2,813.45x = 6,349,547.01
  5. Step 5: Solve for x
    x = 6,349,547.01/2,813.45
  6. Step 6: Final answer
    x = 2,256.85

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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.