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Finding the Fourth Proportional to 1,763.04, 2,642.23 and 939.54

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Solution

The fourth proportional to 1,763.04, 2,642.23 and 939.54 is: 1,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.04 : 2,642.23 = 939.54 : x
  2. Step 2: Convert to fraction form
    1,763.04/2,642.23 = 939.54/x
  3. Step 3: Cross multiply
    1,763.04x = 2,642.23 × 939.54
  4. Step 4: Simplify right side
    1,763.04x = 2,482,480.77
  5. Step 5: Solve for x
    x = 2,482,480.77/1,763.04
  6. Step 6: Final answer
    x = 1,408.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.