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Finding the Fourth Proportional to 2,141.32, 2,955.07 and 1,257.76

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Solution

The fourth proportional to 2,141.32, 2,955.07 and 1,257.76 is: 1,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.32 : 2,955.07 = 1,257.76 : x
  2. Step 2: Convert to fraction form
    2,141.32/2,955.07 = 1,257.76/x
  3. Step 3: Cross multiply
    2,141.32x = 2,955.07 × 1,257.76
  4. Step 4: Simplify right side
    2,141.32x = 3,716,768.84
  5. Step 5: Solve for x
    x = 3,716,768.84/2,141.32
  6. Step 6: Final answer
    x = 1,735.74

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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.