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Finding the Fourth Proportional to 1,560.51, 2,330.64 and 1,413.97

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Solution

The fourth proportional to 1,560.51, 2,330.64 and 1,413.97 is: 2,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.51 : 2,330.64 = 1,413.97 : x
  2. Step 2: Convert to fraction form
    1,560.51/2,330.64 = 1,413.97/x
  3. Step 3: Cross multiply
    1,560.51x = 2,330.64 × 1,413.97
  4. Step 4: Simplify right side
    1,560.51x = 3,295,449.21
  5. Step 5: Solve for x
    x = 3,295,449.21/1,560.51
  6. Step 6: Final answer
    x = 2,111.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.