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Finding the Fourth Proportional to 4,065.81, 6,102.49 and 1,602.33

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Solution

The fourth proportional to 4,065.81, 6,102.49 and 1,602.33 is: 2,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.81 : 6,102.49 = 1,602.33 : x
  2. Step 2: Convert to fraction form
    4,065.81/6,102.49 = 1,602.33/x
  3. Step 3: Cross multiply
    4,065.81x = 6,102.49 × 1,602.33
  4. Step 4: Simplify right side
    4,065.81x = 9,778,172.29
  5. Step 5: Solve for x
    x = 9,778,172.29/4,065.81
  6. Step 6: Final answer
    x = 2,404.98

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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.