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Finding the Fourth Proportional to 1,701.80, 2,552.70 and 1,628.90

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Solution

The fourth proportional to 1,701.80, 2,552.70 and 1,628.90 is: 2,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.80 : 2,552.70 = 1,628.90 : x
  2. Step 2: Convert to fraction form
    1,701.80/2,552.70 = 1,628.90/x
  3. Step 3: Cross multiply
    1,701.80x = 2,552.70 × 1,628.90
  4. Step 4: Simplify right side
    1,701.80x = 4,158,093.03
  5. Step 5: Solve for x
    x = 4,158,093.03/1,701.80
  6. Step 6: Final answer
    x = 2,443.35

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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.