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Finding the Fourth Proportional to 3,214.88, 4,822.70 and 1,134.45

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Solution

The fourth proportional to 3,214.88, 4,822.70 and 1,134.45 is: 1,701.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.88 : 4,822.70 = 1,134.45 : x
  2. Step 2: Convert to fraction form
    3,214.88/4,822.70 = 1,134.45/x
  3. Step 3: Cross multiply
    3,214.88x = 4,822.70 × 1,134.45
  4. Step 4: Simplify right side
    3,214.88x = 5,471,106.34
  5. Step 5: Solve for x
    x = 5,471,106.34/3,214.88
  6. Step 6: Final answer
    x = 1,701.81

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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.