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Finding the Fourth Proportional to 2,265.34, 3,124.12 and 1,467.86

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Solution

The fourth proportional to 2,265.34, 3,124.12 and 1,467.86 is: 2,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.34 : 3,124.12 = 1,467.86 : x
  2. Step 2: Convert to fraction form
    2,265.34/3,124.12 = 1,467.86/x
  3. Step 3: Cross multiply
    2,265.34x = 3,124.12 × 1,467.86
  4. Step 4: Simplify right side
    2,265.34x = 4,585,751.49
  5. Step 5: Solve for x
    x = 4,585,751.49/2,265.34
  6. Step 6: Final answer
    x = 2,024.31

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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.