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Finding the Fourth Proportional to 1,465.18, 2,197.77 and 369.54

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Solution

The fourth proportional to 1,465.18, 2,197.77 and 369.54 is: 554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.18 : 2,197.77 = 369.54 : x
  2. Step 2: Convert to fraction form
    1,465.18/2,197.77 = 369.54/x
  3. Step 3: Cross multiply
    1,465.18x = 2,197.77 × 369.54
  4. Step 4: Simplify right side
    1,465.18x = 812,163.93
  5. Step 5: Solve for x
    x = 812,163.93/1,465.18
  6. Step 6: Final answer
    x = 554.31

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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.