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Finding the Fourth Proportional to 3,083.40, 4,623.89 and 1,328.40

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Solution

The fourth proportional to 3,083.40, 4,623.89 and 1,328.40 is: 1,992.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.40 : 4,623.89 = 1,328.40 : x
  2. Step 2: Convert to fraction form
    3,083.40/4,623.89 = 1,328.40/x
  3. Step 3: Cross multiply
    3,083.40x = 4,623.89 × 1,328.40
  4. Step 4: Simplify right side
    3,083.40x = 6,142,368.83
  5. Step 5: Solve for x
    x = 6,142,368.83/3,083.40
  6. Step 6: Final answer
    x = 1,992.08

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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.