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Finding the Fourth Proportional to 2,329.70, 3,495.18 and 944.00

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Solution

The fourth proportional to 2,329.70, 3,495.18 and 944.00 is: 1,416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.70 : 3,495.18 = 944.00 : x
  2. Step 2: Convert to fraction form
    2,329.70/3,495.18 = 944.00/x
  3. Step 3: Cross multiply
    2,329.70x = 3,495.18 × 944.00
  4. Step 4: Simplify right side
    2,329.70x = 3,299,468.75
  5. Step 5: Solve for x
    x = 3,299,468.75/2,329.70
  6. Step 6: Final answer
    x = 1,416.27

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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.