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Finding the Fourth Proportional to 1,780.81, 2,451.49 and 1,530.67

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Solution

The fourth proportional to 1,780.81, 2,451.49 and 1,530.67 is: 2,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.81 : 2,451.49 = 1,530.67 : x
  2. Step 2: Convert to fraction form
    1,780.81/2,451.49 = 1,530.67/x
  3. Step 3: Cross multiply
    1,780.81x = 2,451.49 × 1,530.67
  4. Step 4: Simplify right side
    1,780.81x = 3,752,428.04
  5. Step 5: Solve for x
    x = 3,752,428.04/1,780.81
  6. Step 6: Final answer
    x = 2,107.15

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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.