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Finding the Fourth Proportional to 1,738.67, 2,399.21 and 1,030.32

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Solution

The fourth proportional to 1,738.67, 2,399.21 and 1,030.32 is: 1,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.67 : 2,399.21 = 1,030.32 : x
  2. Step 2: Convert to fraction form
    1,738.67/2,399.21 = 1,030.32/x
  3. Step 3: Cross multiply
    1,738.67x = 2,399.21 × 1,030.32
  4. Step 4: Simplify right side
    1,738.67x = 2,471,951.31
  5. Step 5: Solve for x
    x = 2,471,951.31/1,738.67
  6. Step 6: Final answer
    x = 1,421.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.