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Finding the Fourth Proportional to 3,160.92, 4,741.36 and 1,310

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Solution

The fourth proportional to 3,160.92, 4,741.36 and 1,310 is: 1,964.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.92 : 4,741.36 = 1,310 : x
  2. Step 2: Convert to fraction form
    3,160.92/4,741.36 = 1,310/x
  3. Step 3: Cross multiply
    3,160.92x = 4,741.36 × 1,310
  4. Step 4: Simplify right side
    3,160.92x = 6,211,181.60
  5. Step 5: Solve for x
    x = 6,211,181.60/3,160.92
  6. Step 6: Final answer
    x = 1,964.99

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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.