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Finding the Fourth Proportional to 1,738.81, 2,399.35 and 1,030.67

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Solution

The fourth proportional to 1,738.81, 2,399.35 and 1,030.67 is: 1,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.81 : 2,399.35 = 1,030.67 : x
  2. Step 2: Convert to fraction form
    1,738.81/2,399.35 = 1,030.67/x
  3. Step 3: Cross multiply
    1,738.81x = 2,399.35 × 1,030.67
  4. Step 4: Simplify right side
    1,738.81x = 2,472,920.91
  5. Step 5: Solve for x
    x = 2,472,920.91/1,738.81
  6. Step 6: Final answer
    x = 1,422.20

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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.