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Finding the Fourth Proportional to 1,770.58, 2,443.53 and 1,024.57

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Solution

The fourth proportional to 1,770.58, 2,443.53 and 1,024.57 is: 1,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.58 : 2,443.53 = 1,024.57 : x
  2. Step 2: Convert to fraction form
    1,770.58/2,443.53 = 1,024.57/x
  3. Step 3: Cross multiply
    1,770.58x = 2,443.53 × 1,024.57
  4. Step 4: Simplify right side
    1,770.58x = 2,503,567.53
  5. Step 5: Solve for x
    x = 2,503,567.53/1,770.58
  6. Step 6: Final answer
    x = 1,413.98

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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.