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Finding the Fourth Proportional to 2,334.53, 3,501.74 and 579.53

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Solution

The fourth proportional to 2,334.53, 3,501.74 and 579.53 is: 869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334.53 : 3,501.74 = 579.53 : x
  2. Step 2: Convert to fraction form
    2,334.53/3,501.74 = 579.53/x
  3. Step 3: Cross multiply
    2,334.53x = 3,501.74 × 579.53
  4. Step 4: Simplify right side
    2,334.53x = 2,029,342.98
  5. Step 5: Solve for x
    x = 2,029,342.98/2,334.53
  6. Step 6: Final answer
    x = 869.27

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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.