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Finding the Fourth Proportional to 2,900.02, 4,351.10 and 1,730.70

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Solution

The fourth proportional to 2,900.02, 4,351.10 and 1,730.70 is: 2,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.02 : 4,351.10 = 1,730.70 : x
  2. Step 2: Convert to fraction form
    2,900.02/4,351.10 = 1,730.70/x
  3. Step 3: Cross multiply
    2,900.02x = 4,351.10 × 1,730.70
  4. Step 4: Simplify right side
    2,900.02x = 7,530,448.77
  5. Step 5: Solve for x
    x = 7,530,448.77/2,900.02
  6. Step 6: Final answer
    x = 2,596.69

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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.