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Finding the Fourth Proportional to 1,354.11, 2,031.17 and 328.11

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Solution

The fourth proportional to 1,354.11, 2,031.17 and 328.11 is: 492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.11 : 2,031.17 = 328.11 : x
  2. Step 2: Convert to fraction form
    1,354.11/2,031.17 = 328.11/x
  3. Step 3: Cross multiply
    1,354.11x = 2,031.17 × 328.11
  4. Step 4: Simplify right side
    1,354.11x = 666,435.39
  5. Step 5: Solve for x
    x = 666,435.39/1,354.11
  6. Step 6: Final answer
    x = 492.16

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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.