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Finding the Fourth Proportional to 2,690.61, 3,713.33 and 1,628.96

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Solution

The fourth proportional to 2,690.61, 3,713.33 and 1,628.96 is: 2,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.61 : 3,713.33 = 1,628.96 : x
  2. Step 2: Convert to fraction form
    2,690.61/3,713.33 = 1,628.96/x
  3. Step 3: Cross multiply
    2,690.61x = 3,713.33 × 1,628.96
  4. Step 4: Simplify right side
    2,690.61x = 6,048,857.89
  5. Step 5: Solve for x
    x = 6,048,857.89/2,690.61
  6. Step 6: Final answer
    x = 2,248.14

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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.