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Finding the Fourth Proportional to 2,731.68, 4,097.07 and 783.45

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Solution

The fourth proportional to 2,731.68, 4,097.07 and 783.45 is: 1,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.68 : 4,097.07 = 783.45 : x
  2. Step 2: Convert to fraction form
    2,731.68/4,097.07 = 783.45/x
  3. Step 3: Cross multiply
    2,731.68x = 4,097.07 × 783.45
  4. Step 4: Simplify right side
    2,731.68x = 3,209,849.49
  5. Step 5: Solve for x
    x = 3,209,849.49/2,731.68
  6. Step 6: Final answer
    x = 1,175.05

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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.