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Finding the Fourth Proportional to 1,655.81, 2,284.60 and 1,212.94

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Solution

The fourth proportional to 1,655.81, 2,284.60 and 1,212.94 is: 1,673.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.81 : 2,284.60 = 1,212.94 : x
  2. Step 2: Convert to fraction form
    1,655.81/2,284.60 = 1,212.94/x
  3. Step 3: Cross multiply
    1,655.81x = 2,284.60 × 1,212.94
  4. Step 4: Simplify right side
    1,655.81x = 2,771,073.98
  5. Step 5: Solve for x
    x = 2,771,073.98/1,655.81
  6. Step 6: Final answer
    x = 1,673.55

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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.