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Finding the Fourth Proportional to 2,179.59, 3,265.07 and 1,407.75

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Solution

The fourth proportional to 2,179.59, 3,265.07 and 1,407.75 is: 2,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.59 : 3,265.07 = 1,407.75 : x
  2. Step 2: Convert to fraction form
    2,179.59/3,265.07 = 1,407.75/x
  3. Step 3: Cross multiply
    2,179.59x = 3,265.07 × 1,407.75
  4. Step 4: Simplify right side
    2,179.59x = 4,596,395.25
  5. Step 5: Solve for x
    x = 4,596,395.25/2,179.59
  6. Step 6: Final answer
    x = 2,108.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.