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Finding the Fourth Proportional to 2,160.57, 2,978.86 and 1,413.35

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Solution

The fourth proportional to 2,160.57, 2,978.86 and 1,413.35 is: 1,948.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.57 : 2,978.86 = 1,413.35 : x
  2. Step 2: Convert to fraction form
    2,160.57/2,978.86 = 1,413.35/x
  3. Step 3: Cross multiply
    2,160.57x = 2,978.86 × 1,413.35
  4. Step 4: Simplify right side
    2,160.57x = 4,210,153.35
  5. Step 5: Solve for x
    x = 4,210,153.35/2,160.57
  6. Step 6: Final answer
    x = 1,948.63

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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.