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Finding the Fourth Proportional to 1,601.64, 2,210.34 and 903

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Solution

The fourth proportional to 1,601.64, 2,210.34 and 903 is: 1,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.64 : 2,210.34 = 903 : x
  2. Step 2: Convert to fraction form
    1,601.64/2,210.34 = 903/x
  3. Step 3: Cross multiply
    1,601.64x = 2,210.34 × 903
  4. Step 4: Simplify right side
    1,601.64x = 1,995,937.02
  5. Step 5: Solve for x
    x = 1,995,937.02/1,601.64
  6. Step 6: Final answer
    x = 1,246.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.