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Finding the Fourth Proportional to 3,113.34, 4,669.53 and 1,381.66

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Solution

The fourth proportional to 3,113.34, 4,669.53 and 1,381.66 is: 2,072.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.34 : 4,669.53 = 1,381.66 : x
  2. Step 2: Convert to fraction form
    3,113.34/4,669.53 = 1,381.66/x
  3. Step 3: Cross multiply
    3,113.34x = 4,669.53 × 1,381.66
  4. Step 4: Simplify right side
    3,113.34x = 6,451,702.82
  5. Step 5: Solve for x
    x = 6,451,702.82/3,113.34
  6. Step 6: Final answer
    x = 2,072.28

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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.