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Finding the Fourth Proportional to 2,869.65, 3,957.09 and 2,125.05

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Solution

The fourth proportional to 2,869.65, 3,957.09 and 2,125.05 is: 2,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.65 : 3,957.09 = 2,125.05 : x
  2. Step 2: Convert to fraction form
    2,869.65/3,957.09 = 2,125.05/x
  3. Step 3: Cross multiply
    2,869.65x = 3,957.09 × 2,125.05
  4. Step 4: Simplify right side
    2,869.65x = 8,409,014.10
  5. Step 5: Solve for x
    x = 8,409,014.10/2,869.65
  6. Step 6: Final answer
    x = 2,930.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.