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Finding the Fourth Proportional to 2,318.33, 3,477.23 and 931.61

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Solution

The fourth proportional to 2,318.33, 3,477.23 and 931.61 is: 1,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.33 : 3,477.23 = 931.61 : x
  2. Step 2: Convert to fraction form
    2,318.33/3,477.23 = 931.61/x
  3. Step 3: Cross multiply
    2,318.33x = 3,477.23 × 931.61
  4. Step 4: Simplify right side
    2,318.33x = 3,239,417.58
  5. Step 5: Solve for x
    x = 3,239,417.58/2,318.33
  6. Step 6: Final answer
    x = 1,397.31

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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.