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Finding the Fourth Proportional to 2,445.64, 3,372.78 and 2,186.44

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Solution

The fourth proportional to 2,445.64, 3,372.78 and 2,186.44 is: 3,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.64 : 3,372.78 = 2,186.44 : x
  2. Step 2: Convert to fraction form
    2,445.64/3,372.78 = 2,186.44/x
  3. Step 3: Cross multiply
    2,445.64x = 3,372.78 × 2,186.44
  4. Step 4: Simplify right side
    2,445.64x = 7,374,381.10
  5. Step 5: Solve for x
    x = 7,374,381.10/2,445.64
  6. Step 6: Final answer
    x = 3,015.32

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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.