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Finding the Fourth Proportional to 2,714.34, 4,063.50 and 2,024.04

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Solution

The fourth proportional to 2,714.34, 4,063.50 and 2,024.04 is: 3,030.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.34 : 4,063.50 = 2,024.04 : x
  2. Step 2: Convert to fraction form
    2,714.34/4,063.50 = 2,024.04/x
  3. Step 3: Cross multiply
    2,714.34x = 4,063.50 × 2,024.04
  4. Step 4: Simplify right side
    2,714.34x = 8,224,686.54
  5. Step 5: Solve for x
    x = 8,224,686.54/2,714.34
  6. Step 6: Final answer
    x = 3,030.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.