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Finding the Fourth Proportional to 2,263.34, 3,124.06 and 2,042.21

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Solution

The fourth proportional to 2,263.34, 3,124.06 and 2,042.21 is: 2,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.34 : 3,124.06 = 2,042.21 : x
  2. Step 2: Convert to fraction form
    2,263.34/3,124.06 = 2,042.21/x
  3. Step 3: Cross multiply
    2,263.34x = 3,124.06 × 2,042.21
  4. Step 4: Simplify right side
    2,263.34x = 6,379,986.57
  5. Step 5: Solve for x
    x = 6,379,986.57/2,263.34
  6. Step 6: Final answer
    x = 2,818.84

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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.