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Finding the Fourth Proportional to 1,928.55, 2,661.23 and 1,089.24

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Solution

The fourth proportional to 1,928.55, 2,661.23 and 1,089.24 is: 1,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.55 : 2,661.23 = 1,089.24 : x
  2. Step 2: Convert to fraction form
    1,928.55/2,661.23 = 1,089.24/x
  3. Step 3: Cross multiply
    1,928.55x = 2,661.23 × 1,089.24
  4. Step 4: Simplify right side
    1,928.55x = 2,898,712.72
  5. Step 5: Solve for x
    x = 2,898,712.72/1,928.55
  6. Step 6: Final answer
    x = 1,503.05

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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.