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Finding the Fourth Proportional to 1,805.69, 2,706.68 and 1,148.06

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Solution

The fourth proportional to 1,805.69, 2,706.68 and 1,148.06 is: 1,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.69 : 2,706.68 = 1,148.06 : x
  2. Step 2: Convert to fraction form
    1,805.69/2,706.68 = 1,148.06/x
  3. Step 3: Cross multiply
    1,805.69x = 2,706.68 × 1,148.06
  4. Step 4: Simplify right side
    1,805.69x = 3,107,411.77
  5. Step 5: Solve for x
    x = 3,107,411.77/1,805.69
  6. Step 6: Final answer
    x = 1,720.90

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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.