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Finding the Fourth Proportional to 1,770.41, 2,443.22 and 1,024.30

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Solution

The fourth proportional to 1,770.41, 2,443.22 and 1,024.30 is: 1,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.41 : 2,443.22 = 1,024.30 : x
  2. Step 2: Convert to fraction form
    1,770.41/2,443.22 = 1,024.30/x
  3. Step 3: Cross multiply
    1,770.41x = 2,443.22 × 1,024.30
  4. Step 4: Simplify right side
    1,770.41x = 2,502,590.25
  5. Step 5: Solve for x
    x = 2,502,590.25/1,770.41
  6. Step 6: Final answer
    x = 1,413.57

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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.