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Finding the Fourth Proportional to 1,612.16, 2,223.96 and 1,021.76

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Solution

The fourth proportional to 1,612.16, 2,223.96 and 1,021.76 is: 1,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.16 : 2,223.96 = 1,021.76 : x
  2. Step 2: Convert to fraction form
    1,612.16/2,223.96 = 1,021.76/x
  3. Step 3: Cross multiply
    1,612.16x = 2,223.96 × 1,021.76
  4. Step 4: Simplify right side
    1,612.16x = 2,272,353.37
  5. Step 5: Solve for x
    x = 2,272,353.37/1,612.16
  6. Step 6: Final answer
    x = 1,409.51

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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.