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Finding the Fourth Proportional to 1,904.87, 2,624.76 and 1,780.67

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Solution

The fourth proportional to 1,904.87, 2,624.76 and 1,780.67 is: 2,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.87 : 2,624.76 = 1,780.67 : x
  2. Step 2: Convert to fraction form
    1,904.87/2,624.76 = 1,780.67/x
  3. Step 3: Cross multiply
    1,904.87x = 2,624.76 × 1,780.67
  4. Step 4: Simplify right side
    1,904.87x = 4,673,818.27
  5. Step 5: Solve for x
    x = 4,673,818.27/1,904.87
  6. Step 6: Final answer
    x = 2,453.62

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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.