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Finding the Fourth Proportional to 2,188.51, 3,260.16 and 2,054.05

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Solution

The fourth proportional to 2,188.51, 3,260.16 and 2,054.05 is: 3,059.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.51 : 3,260.16 = 2,054.05 : x
  2. Step 2: Convert to fraction form
    2,188.51/3,260.16 = 2,054.05/x
  3. Step 3: Cross multiply
    2,188.51x = 3,260.16 × 2,054.05
  4. Step 4: Simplify right side
    2,188.51x = 6,696,531.65
  5. Step 5: Solve for x
    x = 6,696,531.65/2,188.51
  6. Step 6: Final answer
    x = 3,059.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.