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Finding the Fourth Proportional to 1,741.14, 2,402.76 and 955.20

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Solution

The fourth proportional to 1,741.14, 2,402.76 and 955.20 is: 1,318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.14 : 2,402.76 = 955.20 : x
  2. Step 2: Convert to fraction form
    1,741.14/2,402.76 = 955.20/x
  3. Step 3: Cross multiply
    1,741.14x = 2,402.76 × 955.20
  4. Step 4: Simplify right side
    1,741.14x = 2,295,116.35
  5. Step 5: Solve for x
    x = 2,295,116.35/1,741.14
  6. Step 6: Final answer
    x = 1,318.17

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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.