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Finding the Fourth Proportional to 1,613.81, 2,423.14 and 921.26

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Solution

The fourth proportional to 1,613.81, 2,423.14 and 921.26 is: 1,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.81 : 2,423.14 = 921.26 : x
  2. Step 2: Convert to fraction form
    1,613.81/2,423.14 = 921.26/x
  3. Step 3: Cross multiply
    1,613.81x = 2,423.14 × 921.26
  4. Step 4: Simplify right side
    1,613.81x = 2,232,327.54
  5. Step 5: Solve for x
    x = 2,232,327.54/1,613.81
  6. Step 6: Final answer
    x = 1,383.27

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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.