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Finding the Fourth Proportional to 2,758.50, 3,806.91 and 1,547.30

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Solution

The fourth proportional to 2,758.50, 3,806.91 and 1,547.30 is: 2,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.50 : 3,806.91 = 1,547.30 : x
  2. Step 2: Convert to fraction form
    2,758.50/3,806.91 = 1,547.30/x
  3. Step 3: Cross multiply
    2,758.50x = 3,806.91 × 1,547.30
  4. Step 4: Simplify right side
    2,758.50x = 5,890,409.91
  5. Step 5: Solve for x
    x = 5,890,409.91/2,758.50
  6. Step 6: Final answer
    x = 2,135.37

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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.