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Finding the Fourth Proportional to 2,982.84, 4,116.54 and 1,656.77

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Solution

The fourth proportional to 2,982.84, 4,116.54 and 1,656.77 is: 2,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.84 : 4,116.54 = 1,656.77 : x
  2. Step 2: Convert to fraction form
    2,982.84/4,116.54 = 1,656.77/x
  3. Step 3: Cross multiply
    2,982.84x = 4,116.54 × 1,656.77
  4. Step 4: Simplify right side
    2,982.84x = 6,820,139.39
  5. Step 5: Solve for x
    x = 6,820,139.39/2,982.84
  6. Step 6: Final answer
    x = 2,286.46

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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.