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Finding the Fourth Proportional to 2,931.21, 4,397.04 and 851.13

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Solution

The fourth proportional to 2,931.21, 4,397.04 and 851.13 is: 1,276.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.21 : 4,397.04 = 851.13 : x
  2. Step 2: Convert to fraction form
    2,931.21/4,397.04 = 851.13/x
  3. Step 3: Cross multiply
    2,931.21x = 4,397.04 × 851.13
  4. Step 4: Simplify right side
    2,931.21x = 3,742,452.66
  5. Step 5: Solve for x
    x = 3,742,452.66/2,931.21
  6. Step 6: Final answer
    x = 1,276.76

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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.