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Finding the Fourth Proportional to 2,669.40, 3,685.50 and 2,323.80

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Solution

The fourth proportional to 2,669.40, 3,685.50 and 2,323.80 is: 3,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.40 : 3,685.50 = 2,323.80 : x
  2. Step 2: Convert to fraction form
    2,669.40/3,685.50 = 2,323.80/x
  3. Step 3: Cross multiply
    2,669.40x = 3,685.50 × 2,323.80
  4. Step 4: Simplify right side
    2,669.40x = 8,564,364.90
  5. Step 5: Solve for x
    x = 8,564,364.90/2,669.40
  6. Step 6: Final answer
    x = 3,208.35

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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.