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Finding the Fourth Proportional to 1,741.51, 2,403.24 and 955.57

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Solution

The fourth proportional to 1,741.51, 2,403.24 and 955.57 is: 1,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.51 : 2,403.24 = 955.57 : x
  2. Step 2: Convert to fraction form
    1,741.51/2,403.24 = 955.57/x
  3. Step 3: Cross multiply
    1,741.51x = 2,403.24 × 955.57
  4. Step 4: Simplify right side
    1,741.51x = 2,296,464.05
  5. Step 5: Solve for x
    x = 2,296,464.05/1,741.51
  6. Step 6: Final answer
    x = 1,318.66

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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.