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Finding the Fourth Proportional to 2,976.80, 4,106.16 and 2,346.35

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Solution

The fourth proportional to 2,976.80, 4,106.16 and 2,346.35 is: 3,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.80 : 4,106.16 = 2,346.35 : x
  2. Step 2: Convert to fraction form
    2,976.80/4,106.16 = 2,346.35/x
  3. Step 3: Cross multiply
    2,976.80x = 4,106.16 × 2,346.35
  4. Step 4: Simplify right side
    2,976.80x = 9,634,467.99
  5. Step 5: Solve for x
    x = 9,634,467.99/2,976.80
  6. Step 6: Final answer
    x = 3,236.52

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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.