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Finding the Fourth Proportional to 1,495.43, 2,232.08 and 1,403.09

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Solution

The fourth proportional to 1,495.43, 2,232.08 and 1,403.09 is: 2,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.43 : 2,232.08 = 1,403.09 : x
  2. Step 2: Convert to fraction form
    1,495.43/2,232.08 = 1,403.09/x
  3. Step 3: Cross multiply
    1,495.43x = 2,232.08 × 1,403.09
  4. Step 4: Simplify right side
    1,495.43x = 3,131,790.95
  5. Step 5: Solve for x
    x = 3,131,790.95/1,495.43
  6. Step 6: Final answer
    x = 2,094.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.