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Finding the Fourth Proportional to 2,955.72, 4,078.62 and 2,170.20

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Solution

The fourth proportional to 2,955.72, 4,078.62 and 2,170.20 is: 2,994.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.72 : 4,078.62 = 2,170.20 : x
  2. Step 2: Convert to fraction form
    2,955.72/4,078.62 = 2,170.20/x
  3. Step 3: Cross multiply
    2,955.72x = 4,078.62 × 2,170.20
  4. Step 4: Simplify right side
    2,955.72x = 8,851,421.12
  5. Step 5: Solve for x
    x = 8,851,421.12/2,955.72
  6. Step 6: Final answer
    x = 2,994.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.