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Finding the Fourth Proportional to 2,091.42, 2,886.23 and 1,294.99

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Solution

The fourth proportional to 2,091.42, 2,886.23 and 1,294.99 is: 1,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.42 : 2,886.23 = 1,294.99 : x
  2. Step 2: Convert to fraction form
    2,091.42/2,886.23 = 1,294.99/x
  3. Step 3: Cross multiply
    2,091.42x = 2,886.23 × 1,294.99
  4. Step 4: Simplify right side
    2,091.42x = 3,737,635.01
  5. Step 5: Solve for x
    x = 3,737,635.01/2,091.42
  6. Step 6: Final answer
    x = 1,787.13

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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.