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Finding the Fourth Proportional to 1,555.81, 2,331.89 and 776.35

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Solution

The fourth proportional to 1,555.81, 2,331.89 and 776.35 is: 1,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.81 : 2,331.89 = 776.35 : x
  2. Step 2: Convert to fraction form
    1,555.81/2,331.89 = 776.35/x
  3. Step 3: Cross multiply
    1,555.81x = 2,331.89 × 776.35
  4. Step 4: Simplify right side
    1,555.81x = 1,810,364.75
  5. Step 5: Solve for x
    x = 1,810,364.75/1,555.81
  6. Step 6: Final answer
    x = 1,163.62

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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.