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Finding the Fourth Proportional to 1,685.80, 2,528.70 and 1,669.60

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Solution

The fourth proportional to 1,685.80, 2,528.70 and 1,669.60 is: 2,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.80 : 2,528.70 = 1,669.60 : x
  2. Step 2: Convert to fraction form
    1,685.80/2,528.70 = 1,669.60/x
  3. Step 3: Cross multiply
    1,685.80x = 2,528.70 × 1,669.60
  4. Step 4: Simplify right side
    1,685.80x = 4,221,917.52
  5. Step 5: Solve for x
    x = 4,221,917.52/1,685.80
  6. Step 6: Final answer
    x = 2,504.40

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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.