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Finding the Fourth Proportional to 3,116.35, 4,676.28 and 1,655.47

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Solution

The fourth proportional to 3,116.35, 4,676.28 and 1,655.47 is: 2,484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.35 : 4,676.28 = 1,655.47 : x
  2. Step 2: Convert to fraction form
    3,116.35/4,676.28 = 1,655.47/x
  3. Step 3: Cross multiply
    3,116.35x = 4,676.28 × 1,655.47
  4. Step 4: Simplify right side
    3,116.35x = 7,741,441.25
  5. Step 5: Solve for x
    x = 7,741,441.25/3,116.35
  6. Step 6: Final answer
    x = 2,484.14

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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.