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Finding the Fourth Proportional to 2,231.62, 3,347.42 and 916.08

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Solution

The fourth proportional to 2,231.62, 3,347.42 and 916.08 is: 1,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.62 : 3,347.42 = 916.08 : x
  2. Step 2: Convert to fraction form
    2,231.62/3,347.42 = 916.08/x
  3. Step 3: Cross multiply
    2,231.62x = 3,347.42 × 916.08
  4. Step 4: Simplify right side
    2,231.62x = 3,066,504.51
  5. Step 5: Solve for x
    x = 3,066,504.51/2,231.62
  6. Step 6: Final answer
    x = 1,374.12

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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.