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Finding the Fourth Proportional to 2,096.49, 2,893.13 and 1,152.29

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Solution

The fourth proportional to 2,096.49, 2,893.13 and 1,152.29 is: 1,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.49 : 2,893.13 = 1,152.29 : x
  2. Step 2: Convert to fraction form
    2,096.49/2,893.13 = 1,152.29/x
  3. Step 3: Cross multiply
    2,096.49x = 2,893.13 × 1,152.29
  4. Step 4: Simplify right side
    2,096.49x = 3,333,724.77
  5. Step 5: Solve for x
    x = 3,333,724.77/2,096.49
  6. Step 6: Final answer
    x = 1,590.15

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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.