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Finding the Fourth Proportional to 1,816.56, 2,725.38 and 1,406.16

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Solution

The fourth proportional to 1,816.56, 2,725.38 and 1,406.16 is: 2,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.56 : 2,725.38 = 1,406.16 : x
  2. Step 2: Convert to fraction form
    1,816.56/2,725.38 = 1,406.16/x
  3. Step 3: Cross multiply
    1,816.56x = 2,725.38 × 1,406.16
  4. Step 4: Simplify right side
    1,816.56x = 3,832,320.34
  5. Step 5: Solve for x
    x = 3,832,320.34/1,816.56
  6. Step 6: Final answer
    x = 2,109.66

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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.