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Finding the Fourth Proportional to 1,770.76, 2,443.67 and 1,024.75

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Solution

The fourth proportional to 1,770.76, 2,443.67 and 1,024.75 is: 1,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.76 : 2,443.67 = 1,024.75 : x
  2. Step 2: Convert to fraction form
    1,770.76/2,443.67 = 1,024.75/x
  3. Step 3: Cross multiply
    1,770.76x = 2,443.67 × 1,024.75
  4. Step 4: Simplify right side
    1,770.76x = 2,504,152.61
  5. Step 5: Solve for x
    x = 2,504,152.61/1,770.76
  6. Step 6: Final answer
    x = 1,414.17

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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.