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Finding the Fourth Proportional to 2,930.54, 4,394.94 and 1,596.13

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Solution

The fourth proportional to 2,930.54, 4,394.94 and 1,596.13 is: 2,393.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.54 : 4,394.94 = 1,596.13 : x
  2. Step 2: Convert to fraction form
    2,930.54/4,394.94 = 1,596.13/x
  3. Step 3: Cross multiply
    2,930.54x = 4,394.94 × 1,596.13
  4. Step 4: Simplify right side
    2,930.54x = 7,014,895.58
  5. Step 5: Solve for x
    x = 7,014,895.58/2,930.54
  6. Step 6: Final answer
    x = 2,393.72

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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.