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Finding the Fourth Proportional to 1,214.07, 1,821.12 and 972.14

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Solution

The fourth proportional to 1,214.07, 1,821.12 and 972.14 is: 1,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.07 : 1,821.12 = 972.14 : x
  2. Step 2: Convert to fraction form
    1,214.07/1,821.12 = 972.14/x
  3. Step 3: Cross multiply
    1,214.07x = 1,821.12 × 972.14
  4. Step 4: Simplify right side
    1,214.07x = 1,770,370.85
  5. Step 5: Solve for x
    x = 1,770,370.85/1,214.07
  6. Step 6: Final answer
    x = 1,458.21

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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.