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Finding the Fourth Proportional to 1,601.88, 2,209.50 and 1,437.72

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Solution

The fourth proportional to 1,601.88, 2,209.50 and 1,437.72 is: 1,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.88 : 2,209.50 = 1,437.72 : x
  2. Step 2: Convert to fraction form
    1,601.88/2,209.50 = 1,437.72/x
  3. Step 3: Cross multiply
    1,601.88x = 2,209.50 × 1,437.72
  4. Step 4: Simplify right side
    1,601.88x = 3,176,642.34
  5. Step 5: Solve for x
    x = 3,176,642.34/1,601.88
  6. Step 6: Final answer
    x = 1,983.07

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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.