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Finding the Fourth Proportional to 1,362.51, 1,879.62 and 890.23

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Solution

The fourth proportional to 1,362.51, 1,879.62 and 890.23 is: 1,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.51 : 1,879.62 = 890.23 : x
  2. Step 2: Convert to fraction form
    1,362.51/1,879.62 = 890.23/x
  3. Step 3: Cross multiply
    1,362.51x = 1,879.62 × 890.23
  4. Step 4: Simplify right side
    1,362.51x = 1,673,294.11
  5. Step 5: Solve for x
    x = 1,673,294.11/1,362.51
  6. Step 6: Final answer
    x = 1,228.10

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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.