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Finding the Fourth Proportional to 2,684.96, 3,705.48 and 1,637.60

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Solution

The fourth proportional to 2,684.96, 3,705.48 and 1,637.60 is: 2,260.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.96 : 3,705.48 = 1,637.60 : x
  2. Step 2: Convert to fraction form
    2,684.96/3,705.48 = 1,637.60/x
  3. Step 3: Cross multiply
    2,684.96x = 3,705.48 × 1,637.60
  4. Step 4: Simplify right side
    2,684.96x = 6,068,094.05
  5. Step 5: Solve for x
    x = 6,068,094.05/2,684.96
  6. Step 6: Final answer
    x = 2,260.03

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1.5x scale

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.