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Finding the Fourth Proportional to 1,741.69, 2,403.53 and 955.76

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Solution

The fourth proportional to 1,741.69, 2,403.53 and 955.76 is: 1,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.69 : 2,403.53 = 955.76 : x
  2. Step 2: Convert to fraction form
    1,741.69/2,403.53 = 955.76/x
  3. Step 3: Cross multiply
    1,741.69x = 2,403.53 × 955.76
  4. Step 4: Simplify right side
    1,741.69x = 2,297,185.82
  5. Step 5: Solve for x
    x = 2,297,185.82/1,741.69
  6. Step 6: Final answer
    x = 1,318.94

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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.