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Finding the Fourth Proportional to 1,602.15, 2,401.33 and 723.62

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Solution

The fourth proportional to 1,602.15, 2,401.33 and 723.62 is: 1,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.15 : 2,401.33 = 723.62 : x
  2. Step 2: Convert to fraction form
    1,602.15/2,401.33 = 723.62/x
  3. Step 3: Cross multiply
    1,602.15x = 2,401.33 × 723.62
  4. Step 4: Simplify right side
    1,602.15x = 1,737,650.41
  5. Step 5: Solve for x
    x = 1,737,650.41/1,602.15
  6. Step 6: Final answer
    x = 1,084.58

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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.