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Finding the Fourth Proportional to 2,334.34, 3,501.43 and 579.35

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Solution

The fourth proportional to 2,334.34, 3,501.43 and 579.35 is: 869.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.34 : 3,501.43 = 579.35 : x
  2. Step 2: Convert to fraction form
    2,334.34/3,501.43 = 579.35/x
  3. Step 3: Cross multiply
    2,334.34x = 3,501.43 × 579.35
  4. Step 4: Simplify right side
    2,334.34x = 2,028,553.47
  5. Step 5: Solve for x
    x = 2,028,553.47/2,334.34
  6. Step 6: Final answer
    x = 869.01

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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.