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Finding the Fourth Proportional to 1,555.23, 2,332.21 and 677.67

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Solution

The fourth proportional to 1,555.23, 2,332.21 and 677.67 is: 1,016.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.23 : 2,332.21 = 677.67 : x
  2. Step 2: Convert to fraction form
    1,555.23/2,332.21 = 677.67/x
  3. Step 3: Cross multiply
    1,555.23x = 2,332.21 × 677.67
  4. Step 4: Simplify right side
    1,555.23x = 1,580,468.75
  5. Step 5: Solve for x
    x = 1,580,468.75/1,555.23
  6. Step 6: Final answer
    x = 1,016.23

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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.