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Finding the Fourth Proportional to 1,740.81, 2,611.85 and 919.11

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Solution

The fourth proportional to 1,740.81, 2,611.85 and 919.11 is: 1,379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.81 : 2,611.85 = 919.11 : x
  2. Step 2: Convert to fraction form
    1,740.81/2,611.85 = 919.11/x
  3. Step 3: Cross multiply
    1,740.81x = 2,611.85 × 919.11
  4. Step 4: Simplify right side
    1,740.81x = 2,400,572.86
  5. Step 5: Solve for x
    x = 2,400,572.86/1,740.81
  6. Step 6: Final answer
    x = 1,379.00

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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.