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Finding the Fourth Proportional to 2,806.59, 3,872.91 and 1,547.66

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Solution

The fourth proportional to 2,806.59, 3,872.91 and 1,547.66 is: 2,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.59 : 3,872.91 = 1,547.66 : x
  2. Step 2: Convert to fraction form
    2,806.59/3,872.91 = 1,547.66/x
  3. Step 3: Cross multiply
    2,806.59x = 3,872.91 × 1,547.66
  4. Step 4: Simplify right side
    2,806.59x = 5,993,928.53
  5. Step 5: Solve for x
    x = 5,993,928.53/2,806.59
  6. Step 6: Final answer
    x = 2,135.67

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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.