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Finding the Fourth Proportional to 1,624.20, 2,241.31 and 916.06

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Solution

The fourth proportional to 1,624.20, 2,241.31 and 916.06 is: 1,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.20 : 2,241.31 = 916.06 : x
  2. Step 2: Convert to fraction form
    1,624.20/2,241.31 = 916.06/x
  3. Step 3: Cross multiply
    1,624.20x = 2,241.31 × 916.06
  4. Step 4: Simplify right side
    1,624.20x = 2,053,174.44
  5. Step 5: Solve for x
    x = 2,053,174.44/1,624.20
  6. Step 6: Final answer
    x = 1,264.11

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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.