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Finding the Fourth Proportional to 2,599.52, 3,900.38 and 1,300.28

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Solution

The fourth proportional to 2,599.52, 3,900.38 and 1,300.28 is: 1,950.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.52 : 3,900.38 = 1,300.28 : x
  2. Step 2: Convert to fraction form
    2,599.52/3,900.38 = 1,300.28/x
  3. Step 3: Cross multiply
    2,599.52x = 3,900.38 × 1,300.28
  4. Step 4: Simplify right side
    2,599.52x = 5,071,586.11
  5. Step 5: Solve for x
    x = 5,071,586.11/2,599.52
  6. Step 6: Final answer
    x = 1,950.97

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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.