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Finding the Fourth Proportional to 2,214.41, 3,053.57 and 1,654.00

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Solution

The fourth proportional to 2,214.41, 3,053.57 and 1,654.00 is: 2,280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.41 : 3,053.57 = 1,654.00 : x
  2. Step 2: Convert to fraction form
    2,214.41/3,053.57 = 1,654.00/x
  3. Step 3: Cross multiply
    2,214.41x = 3,053.57 × 1,654.00
  4. Step 4: Simplify right side
    2,214.41x = 5,050,588.88
  5. Step 5: Solve for x
    x = 5,050,588.88/2,214.41
  6. Step 6: Final answer
    x = 2,280.79

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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.