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Finding the Fourth Proportional to 1,616.84, 2,231.24 and 953.68

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Solution

The fourth proportional to 1,616.84, 2,231.24 and 953.68 is: 1,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.84 : 2,231.24 = 953.68 : x
  2. Step 2: Convert to fraction form
    1,616.84/2,231.24 = 953.68/x
  3. Step 3: Cross multiply
    1,616.84x = 2,231.24 × 953.68
  4. Step 4: Simplify right side
    1,616.84x = 2,127,888.96
  5. Step 5: Solve for x
    x = 2,127,888.96/1,616.84
  6. Step 6: Final answer
    x = 1,316.08

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Why These Related Problems?

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