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Finding the Fourth Proportional to 1,461.16, 2,191.82 and 365.53

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Solution

The fourth proportional to 1,461.16, 2,191.82 and 365.53 is: 548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.16 : 2,191.82 = 365.53 : x
  2. Step 2: Convert to fraction form
    1,461.16/2,191.82 = 365.53/x
  3. Step 3: Cross multiply
    1,461.16x = 2,191.82 × 365.53
  4. Step 4: Simplify right side
    1,461.16x = 801,175.96
  5. Step 5: Solve for x
    x = 801,175.96/1,461.16
  6. Step 6: Final answer
    x = 548.32

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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.