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Finding the Fourth Proportional to 3,109.84, 4,666.34 and 1,722.90

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Solution

The fourth proportional to 3,109.84, 4,666.34 and 1,722.90 is: 2,585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.84 : 4,666.34 = 1,722.90 : x
  2. Step 2: Convert to fraction form
    3,109.84/4,666.34 = 1,722.90/x
  3. Step 3: Cross multiply
    3,109.84x = 4,666.34 × 1,722.90
  4. Step 4: Simplify right side
    3,109.84x = 8,039,637.19
  5. Step 5: Solve for x
    x = 8,039,637.19/3,109.84
  6. Step 6: Final answer
    x = 2,585.23

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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.