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Finding the Fourth Proportional to 3,154.64, 4,731.96 and 846.14

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Solution

The fourth proportional to 3,154.64, 4,731.96 and 846.14 is: 1,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.64 : 4,731.96 = 846.14 : x
  2. Step 2: Convert to fraction form
    3,154.64/4,731.96 = 846.14/x
  3. Step 3: Cross multiply
    3,154.64x = 4,731.96 × 846.14
  4. Step 4: Simplify right side
    3,154.64x = 4,003,904.39
  5. Step 5: Solve for x
    x = 4,003,904.39/3,154.64
  6. Step 6: Final answer
    x = 1,269.21

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Similar ratio
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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.