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Finding the Fourth Proportional to 1,568.47, 2,164.72 and 896.28

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Solution

The fourth proportional to 1,568.47, 2,164.72 and 896.28 is: 1,237.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.47 : 2,164.72 = 896.28 : x
  2. Step 2: Convert to fraction form
    1,568.47/2,164.72 = 896.28/x
  3. Step 3: Cross multiply
    1,568.47x = 2,164.72 × 896.28
  4. Step 4: Simplify right side
    1,568.47x = 1,940,195.24
  5. Step 5: Solve for x
    x = 1,940,195.24/1,568.47
  6. Step 6: Final answer
    x = 1,237.00

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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.