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Finding the Fourth Proportional to 2,155.28, 2,973.96 and 1,223.76

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Solution

The fourth proportional to 2,155.28, 2,973.96 and 1,223.76 is: 1,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.28 : 2,973.96 = 1,223.76 : x
  2. Step 2: Convert to fraction form
    2,155.28/2,973.96 = 1,223.76/x
  3. Step 3: Cross multiply
    2,155.28x = 2,973.96 × 1,223.76
  4. Step 4: Simplify right side
    2,155.28x = 3,639,413.29
  5. Step 5: Solve for x
    x = 3,639,413.29/2,155.28
  6. Step 6: Final answer
    x = 1,688.60

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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.