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Finding the Fourth Proportional to 2,811.60, 4,216.84 and 962.56

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Solution

The fourth proportional to 2,811.60, 4,216.84 and 962.56 is: 1,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.60 : 4,216.84 = 962.56 : x
  2. Step 2: Convert to fraction form
    2,811.60/4,216.84 = 962.56/x
  3. Step 3: Cross multiply
    2,811.60x = 4,216.84 × 962.56
  4. Step 4: Simplify right side
    2,811.60x = 4,058,961.51
  5. Step 5: Solve for x
    x = 4,058,961.51/2,811.60
  6. Step 6: Final answer
    x = 1,443.65

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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.