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Finding the Fourth Proportional to 1,713.54, 2,568.93 and 1,616.94

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Solution

The fourth proportional to 1,713.54, 2,568.93 and 1,616.94 is: 2,424.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.54 : 2,568.93 = 1,616.94 : x
  2. Step 2: Convert to fraction form
    1,713.54/2,568.93 = 1,616.94/x
  3. Step 3: Cross multiply
    1,713.54x = 2,568.93 × 1,616.94
  4. Step 4: Simplify right side
    1,713.54x = 4,153,805.67
  5. Step 5: Solve for x
    x = 4,153,805.67/1,713.54
  6. Step 6: Final answer
    x = 2,424.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.