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Finding the Fourth Proportional to 2,596.19, 3,564.65 and 2,528.54

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Solution

The fourth proportional to 2,596.19, 3,564.65 and 2,528.54 is: 3,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.19 : 3,564.65 = 2,528.54 : x
  2. Step 2: Convert to fraction form
    2,596.19/3,564.65 = 2,528.54/x
  3. Step 3: Cross multiply
    2,596.19x = 3,564.65 × 2,528.54
  4. Step 4: Simplify right side
    2,596.19x = 9,013,360.11
  5. Step 5: Solve for x
    x = 9,013,360.11/2,596.19
  6. Step 6: Final answer
    x = 3,471.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.