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Finding the Fourth Proportional to 1,766.41, 2,437.70 and 1,020.30

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Solution

The fourth proportional to 1,766.41, 2,437.70 and 1,020.30 is: 1,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.41 : 2,437.70 = 1,020.30 : x
  2. Step 2: Convert to fraction form
    1,766.41/2,437.70 = 1,020.30/x
  3. Step 3: Cross multiply
    1,766.41x = 2,437.70 × 1,020.30
  4. Step 4: Simplify right side
    1,766.41x = 2,487,171.07
  5. Step 5: Solve for x
    x = 2,487,171.07/1,766.41
  6. Step 6: Final answer
    x = 1,408.04

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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.