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Finding the Fourth Proportional to 1,634.36, 2,256.12 and 1,045.67

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Solution

The fourth proportional to 1,634.36, 2,256.12 and 1,045.67 is: 1,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.36 : 2,256.12 = 1,045.67 : x
  2. Step 2: Convert to fraction form
    1,634.36/2,256.12 = 1,045.67/x
  3. Step 3: Cross multiply
    1,634.36x = 2,256.12 × 1,045.67
  4. Step 4: Simplify right side
    1,634.36x = 2,359,145.72
  5. Step 5: Solve for x
    x = 2,359,145.72/1,634.36
  6. Step 6: Final answer
    x = 1,443.47

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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.