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Finding the Fourth Proportional to 1,413.57, 1,948.93 and 1,010.28

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Solution

The fourth proportional to 1,413.57, 1,948.93 and 1,010.28 is: 1,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.57 : 1,948.93 = 1,010.28 : x
  2. Step 2: Convert to fraction form
    1,413.57/1,948.93 = 1,010.28/x
  3. Step 3: Cross multiply
    1,413.57x = 1,948.93 × 1,010.28
  4. Step 4: Simplify right side
    1,413.57x = 1,968,968.16
  5. Step 5: Solve for x
    x = 1,968,968.16/1,413.57
  6. Step 6: Final answer
    x = 1,392.90

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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.