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Finding the Fourth Proportional to 1,456.06, 2,009.52 and 896.42

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Solution

The fourth proportional to 1,456.06, 2,009.52 and 896.42 is: 1,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.06 : 2,009.52 = 896.42 : x
  2. Step 2: Convert to fraction form
    1,456.06/2,009.52 = 896.42/x
  3. Step 3: Cross multiply
    1,456.06x = 2,009.52 × 896.42
  4. Step 4: Simplify right side
    1,456.06x = 1,801,363.87
  5. Step 5: Solve for x
    x = 1,801,363.87/1,456.06
  6. Step 6: Final answer
    x = 1,237.15

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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.