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Finding the Fourth Proportional to 2,139, 2,949.15 and 1,785.43

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Solution

The fourth proportional to 2,139, 2,949.15 and 1,785.43 is: 2,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139 : 2,949.15 = 1,785.43 : x
  2. Step 2: Convert to fraction form
    2,139/2,949.15 = 1,785.43/x
  3. Step 3: Cross multiply
    2,139x = 2,949.15 × 1,785.43
  4. Step 4: Simplify right side
    2,139x = 5,265,500.88
  5. Step 5: Solve for x
    x = 5,265,500.88/2,139
  6. Step 6: Final answer
    x = 2,461.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.