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Finding the Fourth Proportional to 2,096.70, 2,893.00 and 1,165.18

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Solution

The fourth proportional to 2,096.70, 2,893.00 and 1,165.18 is: 1,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.70 : 2,893.00 = 1,165.18 : x
  2. Step 2: Convert to fraction form
    2,096.70/2,893.00 = 1,165.18/x
  3. Step 3: Cross multiply
    2,096.70x = 2,893.00 × 1,165.18
  4. Step 4: Simplify right side
    2,096.70x = 3,370,848.36
  5. Step 5: Solve for x
    x = 3,370,848.36/2,096.70
  6. Step 6: Final answer
    x = 1,607.70

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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.