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Finding the Fourth Proportional to 3,054.65, 4,210.99 and 2,256.80

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Solution

The fourth proportional to 3,054.65, 4,210.99 and 2,256.80 is: 3,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.65 : 4,210.99 = 2,256.80 : x
  2. Step 2: Convert to fraction form
    3,054.65/4,210.99 = 2,256.80/x
  3. Step 3: Cross multiply
    3,054.65x = 4,210.99 × 2,256.80
  4. Step 4: Simplify right side
    3,054.65x = 9,503,335.54
  5. Step 5: Solve for x
    x = 9,503,335.54/3,054.65
  6. Step 6: Final answer
    x = 3,111.11

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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.