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Finding the Fourth Proportional to 2,216.74, 3,325.70 and 656.82

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Solution

The fourth proportional to 2,216.74, 3,325.70 and 656.82 is: 985.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.74 : 3,325.70 = 656.82 : x
  2. Step 2: Convert to fraction form
    2,216.74/3,325.70 = 656.82/x
  3. Step 3: Cross multiply
    2,216.74x = 3,325.70 × 656.82
  4. Step 4: Simplify right side
    2,216.74x = 2,184,386.27
  5. Step 5: Solve for x
    x = 2,184,386.27/2,216.74
  6. Step 6: Final answer
    x = 985.40

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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.