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Finding the Fourth Proportional to 2,650.05, 3,656.52 and 1,470.87

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Solution

The fourth proportional to 2,650.05, 3,656.52 and 1,470.87 is: 2,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.05 : 3,656.52 = 1,470.87 : x
  2. Step 2: Convert to fraction form
    2,650.05/3,656.52 = 1,470.87/x
  3. Step 3: Cross multiply
    2,650.05x = 3,656.52 × 1,470.87
  4. Step 4: Simplify right side
    2,650.05x = 5,378,265.57
  5. Step 5: Solve for x
    x = 5,378,265.57/2,650.05
  6. Step 6: Final answer
    x = 2,029.50

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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.