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Finding the Fourth Proportional to 2,806.91, 3,873.40 and 1,564.67

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Solution

The fourth proportional to 2,806.91, 3,873.40 and 1,564.67 is: 2,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.91 : 3,873.40 = 1,564.67 : x
  2. Step 2: Convert to fraction form
    2,806.91/3,873.40 = 1,564.67/x
  3. Step 3: Cross multiply
    2,806.91x = 3,873.40 × 1,564.67
  4. Step 4: Simplify right side
    2,806.91x = 6,060,584.95
  5. Step 5: Solve for x
    x = 6,060,584.95/2,806.91
  6. Step 6: Final answer
    x = 2,159.17

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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.