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Finding the Fourth Proportional to 1,741.82, 2,403.72 and 955.87

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Solution

The fourth proportional to 1,741.82, 2,403.72 and 955.87 is: 1,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.82 : 2,403.72 = 955.87 : x
  2. Step 2: Convert to fraction form
    1,741.82/2,403.72 = 955.87/x
  3. Step 3: Cross multiply
    1,741.82x = 2,403.72 × 955.87
  4. Step 4: Simplify right side
    1,741.82x = 2,297,627.04
  5. Step 5: Solve for x
    x = 2,297,627.04/1,741.82
  6. Step 6: Final answer
    x = 1,319.10

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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.