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Finding the Fourth Proportional to 1,550.05, 2,322.03 and 931.93

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Solution

The fourth proportional to 1,550.05, 2,322.03 and 931.93 is: 1,396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.05 : 2,322.03 = 931.93 : x
  2. Step 2: Convert to fraction form
    1,550.05/2,322.03 = 931.93/x
  3. Step 3: Cross multiply
    1,550.05x = 2,322.03 × 931.93
  4. Step 4: Simplify right side
    1,550.05x = 2,163,969.42
  5. Step 5: Solve for x
    x = 2,163,969.42/1,550.05
  6. Step 6: Final answer
    x = 1,396.06

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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.