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Finding the Fourth Proportional to 3,123.92, 4,684.80 and 1,389.44

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Solution

The fourth proportional to 3,123.92, 4,684.80 and 1,389.44 is: 2,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.92 : 4,684.80 = 1,389.44 : x
  2. Step 2: Convert to fraction form
    3,123.92/4,684.80 = 1,389.44/x
  3. Step 3: Cross multiply
    3,123.92x = 4,684.80 × 1,389.44
  4. Step 4: Simplify right side
    3,123.92x = 6,509,248.51
  5. Step 5: Solve for x
    x = 6,509,248.51/3,123.92
  6. Step 6: Final answer
    x = 2,083.68

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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.