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Finding the Fourth Proportional to 1,495.71, 2,232.26 and 1,456.83

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Solution

The fourth proportional to 1,495.71, 2,232.26 and 1,456.83 is: 2,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.71 : 2,232.26 = 1,456.83 : x
  2. Step 2: Convert to fraction form
    1,495.71/2,232.26 = 1,456.83/x
  3. Step 3: Cross multiply
    1,495.71x = 2,232.26 × 1,456.83
  4. Step 4: Simplify right side
    1,495.71x = 3,252,021.51
  5. Step 5: Solve for x
    x = 3,252,021.51/1,495.71
  6. Step 6: Final answer
    x = 2,174.23

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