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Finding the Fourth Proportional to 2,671.80, 4,009.26 and 1,930.68

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Solution

The fourth proportional to 2,671.80, 4,009.26 and 1,930.68 is: 2,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.80 : 4,009.26 = 1,930.68 : x
  2. Step 2: Convert to fraction form
    2,671.80/4,009.26 = 1,930.68/x
  3. Step 3: Cross multiply
    2,671.80x = 4,009.26 × 1,930.68
  4. Step 4: Simplify right side
    2,671.80x = 7,740,598.10
  5. Step 5: Solve for x
    x = 7,740,598.10/2,671.80
  6. Step 6: Final answer
    x = 2,897.15

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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.