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Finding the Fourth Proportional to 3,160.86, 4,741.38 and 1,310.70

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Solution

The fourth proportional to 3,160.86, 4,741.38 and 1,310.70 is: 1,966.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.86 : 4,741.38 = 1,310.70 : x
  2. Step 2: Convert to fraction form
    3,160.86/4,741.38 = 1,310.70/x
  3. Step 3: Cross multiply
    3,160.86x = 4,741.38 × 1,310.70
  4. Step 4: Simplify right side
    3,160.86x = 6,214,526.77
  5. Step 5: Solve for x
    x = 6,214,526.77/3,160.86
  6. Step 6: Final answer
    x = 1,966.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.