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Finding the Fourth Proportional to 1,961.47, 2,707.28 and 1,261.63

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Solution

The fourth proportional to 1,961.47, 2,707.28 and 1,261.63 is: 1,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.47 : 2,707.28 = 1,261.63 : x
  2. Step 2: Convert to fraction form
    1,961.47/2,707.28 = 1,261.63/x
  3. Step 3: Cross multiply
    1,961.47x = 2,707.28 × 1,261.63
  4. Step 4: Simplify right side
    1,961.47x = 3,415,585.67
  5. Step 5: Solve for x
    x = 3,415,585.67/1,961.47
  6. Step 6: Final answer
    x = 1,741.34

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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.