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Finding the Fourth Proportional to 2,069.53, 2,856.06 and 1,185.34

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Solution

The fourth proportional to 2,069.53, 2,856.06 and 1,185.34 is: 1,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.53 : 2,856.06 = 1,185.34 : x
  2. Step 2: Convert to fraction form
    2,069.53/2,856.06 = 1,185.34/x
  3. Step 3: Cross multiply
    2,069.53x = 2,856.06 × 1,185.34
  4. Step 4: Simplify right side
    2,069.53x = 3,385,389.60
  5. Step 5: Solve for x
    x = 3,385,389.60/2,069.53
  6. Step 6: Final answer
    x = 1,635.82

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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.