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Finding the Fourth Proportional to 2,093.95, 2,890.08 and 1,209.63

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Solution

The fourth proportional to 2,093.95, 2,890.08 and 1,209.63 is: 1,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.95 : 2,890.08 = 1,209.63 : x
  2. Step 2: Convert to fraction form
    2,093.95/2,890.08 = 1,209.63/x
  3. Step 3: Cross multiply
    2,093.95x = 2,890.08 × 1,209.63
  4. Step 4: Simplify right side
    2,093.95x = 3,495,938.31
  5. Step 5: Solve for x
    x = 3,495,938.31/2,093.95
  6. Step 6: Final answer
    x = 1,669.54

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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.