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Finding the Fourth Proportional to 1,434.56, 1,978.48 and 1,214

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Solution

The fourth proportional to 1,434.56, 1,978.48 and 1,214 is: 1,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.56 : 1,978.48 = 1,214 : x
  2. Step 2: Convert to fraction form
    1,434.56/1,978.48 = 1,214/x
  3. Step 3: Cross multiply
    1,434.56x = 1,978.48 × 1,214
  4. Step 4: Simplify right side
    1,434.56x = 2,401,874.72
  5. Step 5: Solve for x
    x = 2,401,874.72/1,434.56
  6. Step 6: Final answer
    x = 1,674.29

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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.