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Finding the Fourth Proportional to 1,741.34, 2,403.24 and 995.40

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Solution

The fourth proportional to 1,741.34, 2,403.24 and 995.40 is: 1,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.34 : 2,403.24 = 995.40 : x
  2. Step 2: Convert to fraction form
    1,741.34/2,403.24 = 995.40/x
  3. Step 3: Cross multiply
    1,741.34x = 2,403.24 × 995.40
  4. Step 4: Simplify right side
    1,741.34x = 2,392,185.10
  5. Step 5: Solve for x
    x = 2,392,185.10/1,741.34
  6. Step 6: Final answer
    x = 1,373.76

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