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Finding the Fourth Proportional to 1,476.06, 2,212.65 and 982.87

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Solution

The fourth proportional to 1,476.06, 2,212.65 and 982.87 is: 1,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.06 : 2,212.65 = 982.87 : x
  2. Step 2: Convert to fraction form
    1,476.06/2,212.65 = 982.87/x
  3. Step 3: Cross multiply
    1,476.06x = 2,212.65 × 982.87
  4. Step 4: Simplify right side
    1,476.06x = 2,174,747.31
  5. Step 5: Solve for x
    x = 2,174,747.31/1,476.06
  6. Step 6: Final answer
    x = 1,473.35

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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.