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Finding the Fourth Proportional to 2,731.08, 4,096.76 and 783.58

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Solution

The fourth proportional to 2,731.08, 4,096.76 and 783.58 is: 1,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.08 : 4,096.76 = 783.58 : x
  2. Step 2: Convert to fraction form
    2,731.08/4,096.76 = 783.58/x
  3. Step 3: Cross multiply
    2,731.08x = 4,096.76 × 783.58
  4. Step 4: Simplify right side
    2,731.08x = 3,210,139.20
  5. Step 5: Solve for x
    x = 3,210,139.20/2,731.08
  6. Step 6: Final answer
    x = 1,175.41

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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.