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Finding the Fourth Proportional to 1,628.55, 2,247.37 and 882.51

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Solution

The fourth proportional to 1,628.55, 2,247.37 and 882.51 is: 1,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.55 : 2,247.37 = 882.51 : x
  2. Step 2: Convert to fraction form
    1,628.55/2,247.37 = 882.51/x
  3. Step 3: Cross multiply
    1,628.55x = 2,247.37 × 882.51
  4. Step 4: Simplify right side
    1,628.55x = 1,983,315.86
  5. Step 5: Solve for x
    x = 1,983,315.86/1,628.55
  6. Step 6: Final answer
    x = 1,217.84

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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.