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Finding the Fourth Proportional to 1,550.41, 2,139.01 and 920.45

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Solution

The fourth proportional to 1,550.41, 2,139.01 and 920.45 is: 1,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.41 : 2,139.01 = 920.45 : x
  2. Step 2: Convert to fraction form
    1,550.41/2,139.01 = 920.45/x
  3. Step 3: Cross multiply
    1,550.41x = 2,139.01 × 920.45
  4. Step 4: Simplify right side
    1,550.41x = 1,968,851.75
  5. Step 5: Solve for x
    x = 1,968,851.75/1,550.41
  6. Step 6: Final answer
    x = 1,269.89

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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.