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Finding the Fourth Proportional to 2,596.52, 3,899.10 and 2,023.40

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Solution

The fourth proportional to 2,596.52, 3,899.10 and 2,023.40 is: 3,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.52 : 3,899.10 = 2,023.40 : x
  2. Step 2: Convert to fraction form
    2,596.52/3,899.10 = 2,023.40/x
  3. Step 3: Cross multiply
    2,596.52x = 3,899.10 × 2,023.40
  4. Step 4: Simplify right side
    2,596.52x = 7,889,438.94
  5. Step 5: Solve for x
    x = 7,889,438.94/2,596.52
  6. Step 6: Final answer
    x = 3,038.47

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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.