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Finding the Fourth Proportional to 2,671.40, 4,007.10 and 1,005.50

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Solution

The fourth proportional to 2,671.40, 4,007.10 and 1,005.50 is: 1,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.40 : 4,007.10 = 1,005.50 : x
  2. Step 2: Convert to fraction form
    2,671.40/4,007.10 = 1,005.50/x
  3. Step 3: Cross multiply
    2,671.40x = 4,007.10 × 1,005.50
  4. Step 4: Simplify right side
    2,671.40x = 4,029,139.05
  5. Step 5: Solve for x
    x = 4,029,139.05/2,671.40
  6. Step 6: Final answer
    x = 1,508.25

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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.