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Finding the Fourth Proportional to 2,602.18, 3,902.01 and 1,368.37

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Solution

The fourth proportional to 2,602.18, 3,902.01 and 1,368.37 is: 2,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.18 : 3,902.01 = 1,368.37 : x
  2. Step 2: Convert to fraction form
    2,602.18/3,902.01 = 1,368.37/x
  3. Step 3: Cross multiply
    2,602.18x = 3,902.01 × 1,368.37
  4. Step 4: Simplify right side
    2,602.18x = 5,339,393.42
  5. Step 5: Solve for x
    x = 5,339,393.42/2,602.18
  6. Step 6: Final answer
    x = 2,051.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.