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Finding the Fourth Proportional to 1,806.17, 2,709.66 and 1,624.73

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Solution

The fourth proportional to 1,806.17, 2,709.66 and 1,624.73 is: 2,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.17 : 2,709.66 = 1,624.73 : x
  2. Step 2: Convert to fraction form
    1,806.17/2,709.66 = 1,624.73/x
  3. Step 3: Cross multiply
    1,806.17x = 2,709.66 × 1,624.73
  4. Step 4: Simplify right side
    1,806.17x = 4,402,465.89
  5. Step 5: Solve for x
    x = 4,402,465.89/1,806.17
  6. Step 6: Final answer
    x = 2,437.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.