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Finding the Fourth Proportional to 1,741.99, 2,403.94 and 956.02

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Solution

The fourth proportional to 1,741.99, 2,403.94 and 956.02 is: 1,319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.99 : 2,403.94 = 956.02 : x
  2. Step 2: Convert to fraction form
    1,741.99/2,403.94 = 956.02/x
  3. Step 3: Cross multiply
    1,741.99x = 2,403.94 × 956.02
  4. Step 4: Simplify right side
    1,741.99x = 2,298,214.72
  5. Step 5: Solve for x
    x = 2,298,214.72/1,741.99
  6. Step 6: Final answer
    x = 1,319.30

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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.