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Finding the Fourth Proportional to 1,495.63, 2,063.10 and 906.09

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Solution

The fourth proportional to 1,495.63, 2,063.10 and 906.09 is: 1,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.63 : 2,063.10 = 906.09 : x
  2. Step 2: Convert to fraction form
    1,495.63/2,063.10 = 906.09/x
  3. Step 3: Cross multiply
    1,495.63x = 2,063.10 × 906.09
  4. Step 4: Simplify right side
    1,495.63x = 1,869,354.28
  5. Step 5: Solve for x
    x = 1,869,354.28/1,495.63
  6. Step 6: Final answer
    x = 1,249.88

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