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Finding the Fourth Proportional to 1,722.59, 2,583.80 and 944.12

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Solution

The fourth proportional to 1,722.59, 2,583.80 and 944.12 is: 1,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.59 : 2,583.80 = 944.12 : x
  2. Step 2: Convert to fraction form
    1,722.59/2,583.80 = 944.12/x
  3. Step 3: Cross multiply
    1,722.59x = 2,583.80 × 944.12
  4. Step 4: Simplify right side
    1,722.59x = 2,439,399.62
  5. Step 5: Solve for x
    x = 2,439,399.62/1,722.59
  6. Step 6: Final answer
    x = 1,416.12

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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.