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Finding the Fourth Proportional to 1,770.03, 2,442.53 and 1,024.09

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Solution

The fourth proportional to 1,770.03, 2,442.53 and 1,024.09 is: 1,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.03 : 2,442.53 = 1,024.09 : x
  2. Step 2: Convert to fraction form
    1,770.03/2,442.53 = 1,024.09/x
  3. Step 3: Cross multiply
    1,770.03x = 2,442.53 × 1,024.09
  4. Step 4: Simplify right side
    1,770.03x = 2,501,367.00
  5. Step 5: Solve for x
    x = 2,501,367.00/1,770.03
  6. Step 6: Final answer
    x = 1,413.18

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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.