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Finding the Fourth Proportional to 3,232.62, 4,460.87 and 1,975.77

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Solution

The fourth proportional to 3,232.62, 4,460.87 and 1,975.77 is: 2,726.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.62 : 4,460.87 = 1,975.77 : x
  2. Step 2: Convert to fraction form
    3,232.62/4,460.87 = 1,975.77/x
  3. Step 3: Cross multiply
    3,232.62x = 4,460.87 × 1,975.77
  4. Step 4: Simplify right side
    3,232.62x = 8,813,643.24
  5. Step 5: Solve for x
    x = 8,813,643.24/3,232.62
  6. Step 6: Final answer
    x = 2,726.47

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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.