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Finding the Fourth Proportional to 1,935.47, 2,671.02 and 1,096.20

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Solution

The fourth proportional to 1,935.47, 2,671.02 and 1,096.20 is: 1,512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.47 : 2,671.02 = 1,096.20 : x
  2. Step 2: Convert to fraction form
    1,935.47/2,671.02 = 1,096.20/x
  3. Step 3: Cross multiply
    1,935.47x = 2,671.02 × 1,096.20
  4. Step 4: Simplify right side
    1,935.47x = 2,927,972.12
  5. Step 5: Solve for x
    x = 2,927,972.12/1,935.47
  6. Step 6: Final answer
    x = 1,512.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.