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Finding the Fourth Proportional to 2,146.96, 3,220.55 and 686.23

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Solution

The fourth proportional to 2,146.96, 3,220.55 and 686.23 is: 1,029.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.96 : 3,220.55 = 686.23 : x
  2. Step 2: Convert to fraction form
    2,146.96/3,220.55 = 686.23/x
  3. Step 3: Cross multiply
    2,146.96x = 3,220.55 × 686.23
  4. Step 4: Simplify right side
    2,146.96x = 2,210,038.03
  5. Step 5: Solve for x
    x = 2,210,038.03/2,146.96
  6. Step 6: Final answer
    x = 1,029.38

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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.