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Finding the Fourth Proportional to 3,139.44, 4,705.44 and 1,288.44

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Solution

The fourth proportional to 3,139.44, 4,705.44 and 1,288.44 is: 1,931.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.44 : 4,705.44 = 1,288.44 : x
  2. Step 2: Convert to fraction form
    3,139.44/4,705.44 = 1,288.44/x
  3. Step 3: Cross multiply
    3,139.44x = 4,705.44 × 1,288.44
  4. Step 4: Simplify right side
    3,139.44x = 6,062,677.11
  5. Step 5: Solve for x
    x = 6,062,677.11/3,139.44
  6. Step 6: Final answer
    x = 1,931.13

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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.