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Finding the Fourth Proportional to 1,224.16, 1,836.61 and 358.47

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Solution

The fourth proportional to 1,224.16, 1,836.61 and 358.47 is: 537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.16 : 1,836.61 = 358.47 : x
  2. Step 2: Convert to fraction form
    1,224.16/1,836.61 = 358.47/x
  3. Step 3: Cross multiply
    1,224.16x = 1,836.61 × 358.47
  4. Step 4: Simplify right side
    1,224.16x = 658,368.69
  5. Step 5: Solve for x
    x = 658,368.69/1,224.16
  6. Step 6: Final answer
    x = 537.81

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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.