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Finding the Fourth Proportional to 2,800.56, 4,197.75 and 1,156.23

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Solution

The fourth proportional to 2,800.56, 4,197.75 and 1,156.23 is: 1,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.56 : 4,197.75 = 1,156.23 : x
  2. Step 2: Convert to fraction form
    2,800.56/4,197.75 = 1,156.23/x
  3. Step 3: Cross multiply
    2,800.56x = 4,197.75 × 1,156.23
  4. Step 4: Simplify right side
    2,800.56x = 4,853,564.48
  5. Step 5: Solve for x
    x = 4,853,564.48/2,800.56
  6. Step 6: Final answer
    x = 1,733.07

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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.