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Finding the Fourth Proportional to 1,741.09, 2,402.11 and 994.51

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Solution

The fourth proportional to 1,741.09, 2,402.11 and 994.51 is: 1,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.09 : 2,402.11 = 994.51 : x
  2. Step 2: Convert to fraction form
    1,741.09/2,402.11 = 994.51/x
  3. Step 3: Cross multiply
    1,741.09x = 2,402.11 × 994.51
  4. Step 4: Simplify right side
    1,741.09x = 2,388,922.42
  5. Step 5: Solve for x
    x = 2,388,922.42/1,741.09
  6. Step 6: Final answer
    x = 1,372.08

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1.5x scale

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.