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Finding the Fourth Proportional to 1,495.62, 2,241.10 and 946.64

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Solution

The fourth proportional to 1,495.62, 2,241.10 and 946.64 is: 1,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.62 : 2,241.10 = 946.64 : x
  2. Step 2: Convert to fraction form
    1,495.62/2,241.10 = 946.64/x
  3. Step 3: Cross multiply
    1,495.62x = 2,241.10 × 946.64
  4. Step 4: Simplify right side
    1,495.62x = 2,121,518.14
  5. Step 5: Solve for x
    x = 2,121,518.14/1,495.62
  6. Step 6: Final answer
    x = 1,418.49

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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.