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Finding the Fourth Proportional to 1,628.67, 2,437.53 and 1,012.80

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Solution

The fourth proportional to 1,628.67, 2,437.53 and 1,012.80 is: 1,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.67 : 2,437.53 = 1,012.80 : x
  2. Step 2: Convert to fraction form
    1,628.67/2,437.53 = 1,012.80/x
  3. Step 3: Cross multiply
    1,628.67x = 2,437.53 × 1,012.80
  4. Step 4: Simplify right side
    1,628.67x = 2,468,730.38
  5. Step 5: Solve for x
    x = 2,468,730.38/1,628.67
  6. Step 6: Final answer
    x = 1,515.80

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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.