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Finding the Fourth Proportional to 1,291.33, 1,938.21 and 1,004.59

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Solution

The fourth proportional to 1,291.33, 1,938.21 and 1,004.59 is: 1,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.33 : 1,938.21 = 1,004.59 : x
  2. Step 2: Convert to fraction form
    1,291.33/1,938.21 = 1,004.59/x
  3. Step 3: Cross multiply
    1,291.33x = 1,938.21 × 1,004.59
  4. Step 4: Simplify right side
    1,291.33x = 1,947,106.38
  5. Step 5: Solve for x
    x = 1,947,106.38/1,291.33
  6. Step 6: Final answer
    x = 1,507.83

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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.