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Finding the Fourth Proportional to 1,620.70, 2,415.64 and 1,528.43

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Solution

The fourth proportional to 1,620.70, 2,415.64 and 1,528.43 is: 2,278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.70 : 2,415.64 = 1,528.43 : x
  2. Step 2: Convert to fraction form
    1,620.70/2,415.64 = 1,528.43/x
  3. Step 3: Cross multiply
    1,620.70x = 2,415.64 × 1,528.43
  4. Step 4: Simplify right side
    1,620.70x = 3,692,136.65
  5. Step 5: Solve for x
    x = 3,692,136.65/1,620.70
  6. Step 6: Final answer
    x = 2,278.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.