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Finding the Fourth Proportional to 2,617.68, 3,927.06 and 1,232.58

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Solution

The fourth proportional to 2,617.68, 3,927.06 and 1,232.58 is: 1,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.68 : 3,927.06 = 1,232.58 : x
  2. Step 2: Convert to fraction form
    2,617.68/3,927.06 = 1,232.58/x
  3. Step 3: Cross multiply
    2,617.68x = 3,927.06 × 1,232.58
  4. Step 4: Simplify right side
    2,617.68x = 4,840,415.61
  5. Step 5: Solve for x
    x = 4,840,415.61/2,617.68
  6. Step 6: Final answer
    x = 1,849.12

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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.