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Finding the Fourth Proportional to 2,628.95, 3,626.77 and 1,509.61

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Solution

The fourth proportional to 2,628.95, 3,626.77 and 1,509.61 is: 2,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.95 : 3,626.77 = 1,509.61 : x
  2. Step 2: Convert to fraction form
    2,628.95/3,626.77 = 1,509.61/x
  3. Step 3: Cross multiply
    2,628.95x = 3,626.77 × 1,509.61
  4. Step 4: Simplify right side
    2,628.95x = 5,475,000.71
  5. Step 5: Solve for x
    x = 5,475,000.71/2,628.95
  6. Step 6: Final answer
    x = 2,082.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.