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Finding the Fourth Proportional to 1,491.08, 2,057.54 and 870.44

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Solution

The fourth proportional to 1,491.08, 2,057.54 and 870.44 is: 1,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.08 : 2,057.54 = 870.44 : x
  2. Step 2: Convert to fraction form
    1,491.08/2,057.54 = 870.44/x
  3. Step 3: Cross multiply
    1,491.08x = 2,057.54 × 870.44
  4. Step 4: Simplify right side
    1,491.08x = 1,790,965.12
  5. Step 5: Solve for x
    x = 1,790,965.12/1,491.08
  6. Step 6: Final answer
    x = 1,201.12

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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.