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Finding the Fourth Proportional to 2,155.62, 3,232.41 and 985.28

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Solution

The fourth proportional to 2,155.62, 3,232.41 and 985.28 is: 1,477.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.62 : 3,232.41 = 985.28 : x
  2. Step 2: Convert to fraction form
    2,155.62/3,232.41 = 985.28/x
  3. Step 3: Cross multiply
    2,155.62x = 3,232.41 × 985.28
  4. Step 4: Simplify right side
    2,155.62x = 3,184,828.92
  5. Step 5: Solve for x
    x = 3,184,828.92/2,155.62
  6. Step 6: Final answer
    x = 1,477.45

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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.