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Finding the Fourth Proportional to 2,683.36, 3,676.16 and 2,584.96

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Solution

The fourth proportional to 2,683.36, 3,676.16 and 2,584.96 is: 3,541.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.36 : 3,676.16 = 2,584.96 : x
  2. Step 2: Convert to fraction form
    2,683.36/3,676.16 = 2,584.96/x
  3. Step 3: Cross multiply
    2,683.36x = 3,676.16 × 2,584.96
  4. Step 4: Simplify right side
    2,683.36x = 9,502,726.55
  5. Step 5: Solve for x
    x = 9,502,726.55/2,683.36
  6. Step 6: Final answer
    x = 3,541.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.