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Finding the Fourth Proportional to 1,616.62, 2,424.30 and 1,513.36

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Solution

The fourth proportional to 1,616.62, 2,424.30 and 1,513.36 is: 2,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.62 : 2,424.30 = 1,513.36 : x
  2. Step 2: Convert to fraction form
    1,616.62/2,424.30 = 1,513.36/x
  3. Step 3: Cross multiply
    1,616.62x = 2,424.30 × 1,513.36
  4. Step 4: Simplify right side
    1,616.62x = 3,668,838.65
  5. Step 5: Solve for x
    x = 3,668,838.65/1,616.62
  6. Step 6: Final answer
    x = 2,269.45

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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.