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Finding the Fourth Proportional to 2,190.64, 3,285.96 and 652.72

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Solution

The fourth proportional to 2,190.64, 3,285.96 and 652.72 is: 979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.64 : 3,285.96 = 652.72 : x
  2. Step 2: Convert to fraction form
    2,190.64/3,285.96 = 652.72/x
  3. Step 3: Cross multiply
    2,190.64x = 3,285.96 × 652.72
  4. Step 4: Simplify right side
    2,190.64x = 2,144,811.81
  5. Step 5: Solve for x
    x = 2,144,811.81/2,190.64
  6. Step 6: Final answer
    x = 979.08

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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.