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Finding the Fourth Proportional to 1,601.72, 2,210.46 and 903.16

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Solution

The fourth proportional to 1,601.72, 2,210.46 and 903.16 is: 1,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.72 : 2,210.46 = 903.16 : x
  2. Step 2: Convert to fraction form
    1,601.72/2,210.46 = 903.16/x
  3. Step 3: Cross multiply
    1,601.72x = 2,210.46 × 903.16
  4. Step 4: Simplify right side
    1,601.72x = 1,996,399.05
  5. Step 5: Solve for x
    x = 1,996,399.05/1,601.72
  6. Step 6: Final answer
    x = 1,246.41

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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.