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Finding the Fourth Proportional to 3,256.66, 4,885.35 and 948.34

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Solution

The fourth proportional to 3,256.66, 4,885.35 and 948.34 is: 1,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.66 : 4,885.35 = 948.34 : x
  2. Step 2: Convert to fraction form
    3,256.66/4,885.35 = 948.34/x
  3. Step 3: Cross multiply
    3,256.66x = 4,885.35 × 948.34
  4. Step 4: Simplify right side
    3,256.66x = 4,632,972.82
  5. Step 5: Solve for x
    x = 4,632,972.82/3,256.66
  6. Step 6: Final answer
    x = 1,422.61

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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.