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Finding the Fourth Proportional to 1,224.02, 1,836.12 and 358.36

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Solution

The fourth proportional to 1,224.02, 1,836.12 and 358.36 is: 537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.02 : 1,836.12 = 358.36 : x
  2. Step 2: Convert to fraction form
    1,224.02/1,836.12 = 358.36/x
  3. Step 3: Cross multiply
    1,224.02x = 1,836.12 × 358.36
  4. Step 4: Simplify right side
    1,224.02x = 657,991.96
  5. Step 5: Solve for x
    x = 657,991.96/1,224.02
  6. Step 6: Final answer
    x = 537.57

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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.