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Finding the Fourth Proportional to 2,494.64, 3,445.08 and 2,054

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Solution

The fourth proportional to 2,494.64, 3,445.08 and 2,054 is: 2,836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.64 : 3,445.08 = 2,054 : x
  2. Step 2: Convert to fraction form
    2,494.64/3,445.08 = 2,054/x
  3. Step 3: Cross multiply
    2,494.64x = 3,445.08 × 2,054
  4. Step 4: Simplify right side
    2,494.64x = 7,076,194.32
  5. Step 5: Solve for x
    x = 7,076,194.32/2,494.64
  6. Step 6: Final answer
    x = 2,836.56

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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.