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Finding the Fourth Proportional to 2,078.96, 2,873.16 and 1,522.64

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Solution

The fourth proportional to 2,078.96, 2,873.16 and 1,522.64 is: 2,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.96 : 2,873.16 = 1,522.64 : x
  2. Step 2: Convert to fraction form
    2,078.96/2,873.16 = 1,522.64/x
  3. Step 3: Cross multiply
    2,078.96x = 2,873.16 × 1,522.64
  4. Step 4: Simplify right side
    2,078.96x = 4,374,788.34
  5. Step 5: Solve for x
    x = 4,374,788.34/2,078.96
  6. Step 6: Final answer
    x = 2,104.32

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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.