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Finding the Fourth Proportional to 2,093.29, 2,888.58 and 1,208.50

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Solution

The fourth proportional to 2,093.29, 2,888.58 and 1,208.50 is: 1,667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.29 : 2,888.58 = 1,208.50 : x
  2. Step 2: Convert to fraction form
    2,093.29/2,888.58 = 1,208.50/x
  3. Step 3: Cross multiply
    2,093.29x = 2,888.58 × 1,208.50
  4. Step 4: Simplify right side
    2,093.29x = 3,490,848.93
  5. Step 5: Solve for x
    x = 3,490,848.93/2,093.29
  6. Step 6: Final answer
    x = 1,667.64

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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.