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Finding the Fourth Proportional to 1,816.09, 2,723.90 and 646.04

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Solution

The fourth proportional to 1,816.09, 2,723.90 and 646.04 is: 968.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,816.09 : 2,723.90 = 646.04 : x
  2. Step 2: Convert to fraction form
    1,816.09/2,723.90 = 646.04/x
  3. Step 3: Cross multiply
    1,816.09x = 2,723.90 × 646.04
  4. Step 4: Simplify right side
    1,816.09x = 1,759,751.94
  5. Step 5: Solve for x
    x = 1,759,751.94/1,816.09
  6. Step 6: Final answer
    x = 968.98

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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.