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Finding the Fourth Proportional to 3,139.71, 4,709.84 and 948.26

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Solution

The fourth proportional to 3,139.71, 4,709.84 and 948.26 is: 1,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.71 : 4,709.84 = 948.26 : x
  2. Step 2: Convert to fraction form
    3,139.71/4,709.84 = 948.26/x
  3. Step 3: Cross multiply
    3,139.71x = 4,709.84 × 948.26
  4. Step 4: Simplify right side
    3,139.71x = 4,466,124.59
  5. Step 5: Solve for x
    x = 4,466,124.59/3,139.71
  6. Step 6: Final answer
    x = 1,422.46

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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.