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Finding the Fourth Proportional to 1,162.11, 1,742.97 and 340.21

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Solution

The fourth proportional to 1,162.11, 1,742.97 and 340.21 is: 510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.11 : 1,742.97 = 340.21 : x
  2. Step 2: Convert to fraction form
    1,162.11/1,742.97 = 340.21/x
  3. Step 3: Cross multiply
    1,162.11x = 1,742.97 × 340.21
  4. Step 4: Simplify right side
    1,162.11x = 592,975.82
  5. Step 5: Solve for x
    x = 592,975.82/1,162.11
  6. Step 6: Final answer
    x = 510.26

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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.