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Finding the Fourth Proportional to 1,550.16, 2,325.64 and 454.48

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Solution

The fourth proportional to 1,550.16, 2,325.64 and 454.48 is: 681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.16 : 2,325.64 = 454.48 : x
  2. Step 2: Convert to fraction form
    1,550.16/2,325.64 = 454.48/x
  3. Step 3: Cross multiply
    1,550.16x = 2,325.64 × 454.48
  4. Step 4: Simplify right side
    1,550.16x = 1,056,956.87
  5. Step 5: Solve for x
    x = 1,056,956.87/1,550.16
  6. Step 6: Final answer
    x = 681.84

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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.