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Finding the Fourth Proportional to 1,741.24, 2,402.76 and 955.09

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Solution

The fourth proportional to 1,741.24, 2,402.76 and 955.09 is: 1,317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.24 : 2,402.76 = 955.09 : x
  2. Step 2: Convert to fraction form
    1,741.24/2,402.76 = 955.09/x
  3. Step 3: Cross multiply
    1,741.24x = 2,402.76 × 955.09
  4. Step 4: Simplify right side
    1,741.24x = 2,294,852.05
  5. Step 5: Solve for x
    x = 2,294,852.05/1,741.24
  6. Step 6: Final answer
    x = 1,317.94

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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.