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Finding the Fourth Proportional to 2,591.46, 3,885.71 and 948.51

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Solution

The fourth proportional to 2,591.46, 3,885.71 and 948.51 is: 1,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.46 : 3,885.71 = 948.51 : x
  2. Step 2: Convert to fraction form
    2,591.46/3,885.71 = 948.51/x
  3. Step 3: Cross multiply
    2,591.46x = 3,885.71 × 948.51
  4. Step 4: Simplify right side
    2,591.46x = 3,685,630.05
  5. Step 5: Solve for x
    x = 3,685,630.05/2,591.46
  6. Step 6: Final answer
    x = 1,422.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.