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Finding the Fourth Proportional to 1,741.50, 2,403.26 and 955.56

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Solution

The fourth proportional to 1,741.50, 2,403.26 and 955.56 is: 1,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.50 : 2,403.26 = 955.56 : x
  2. Step 2: Convert to fraction form
    1,741.50/2,403.26 = 955.56/x
  3. Step 3: Cross multiply
    1,741.50x = 2,403.26 × 955.56
  4. Step 4: Simplify right side
    1,741.50x = 2,296,459.13
  5. Step 5: Solve for x
    x = 2,296,459.13/1,741.50
  6. Step 6: Final answer
    x = 1,318.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.