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Finding the Fourth Proportional to 2,157.74, 2,977.92 and 1,261.82

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Solution

The fourth proportional to 2,157.74, 2,977.92 and 1,261.82 is: 1,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.74 : 2,977.92 = 1,261.82 : x
  2. Step 2: Convert to fraction form
    2,157.74/2,977.92 = 1,261.82/x
  3. Step 3: Cross multiply
    2,157.74x = 2,977.92 × 1,261.82
  4. Step 4: Simplify right side
    2,157.74x = 3,757,599.01
  5. Step 5: Solve for x
    x = 3,757,599.01/2,157.74
  6. Step 6: Final answer
    x = 1,741.45

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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.