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Finding the Fourth Proportional to 2,955.80, 4,078.68 and 1,697.20

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Solution

The fourth proportional to 2,955.80, 4,078.68 and 1,697.20 is: 2,341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.80 : 4,078.68 = 1,697.20 : x
  2. Step 2: Convert to fraction form
    2,955.80/4,078.68 = 1,697.20/x
  3. Step 3: Cross multiply
    2,955.80x = 4,078.68 × 1,697.20
  4. Step 4: Simplify right side
    2,955.80x = 6,922,335.70
  5. Step 5: Solve for x
    x = 6,922,335.70/2,955.80
  6. Step 6: Final answer
    x = 2,341.95

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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.