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Finding the Fourth Proportional to 2,682.68, 4,024.08 and 1,526

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Solution

The fourth proportional to 2,682.68, 4,024.08 and 1,526 is: 2,289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.68 : 4,024.08 = 1,526 : x
  2. Step 2: Convert to fraction form
    2,682.68/4,024.08 = 1,526/x
  3. Step 3: Cross multiply
    2,682.68x = 4,024.08 × 1,526
  4. Step 4: Simplify right side
    2,682.68x = 6,140,746.08
  5. Step 5: Solve for x
    x = 6,140,746.08/2,682.68
  6. Step 6: Final answer
    x = 2,289.03

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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.