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Finding the Fourth Proportional to 2,149.50, 2,966.85 and 1,218.54

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Solution

The fourth proportional to 2,149.50, 2,966.85 and 1,218.54 is: 1,681.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.50 : 2,966.85 = 1,218.54 : x
  2. Step 2: Convert to fraction form
    2,149.50/2,966.85 = 1,218.54/x
  3. Step 3: Cross multiply
    2,149.50x = 2,966.85 × 1,218.54
  4. Step 4: Simplify right side
    2,149.50x = 3,615,225.40
  5. Step 5: Solve for x
    x = 3,615,225.40/2,149.50
  6. Step 6: Final answer
    x = 1,681.89

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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.