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Finding the Fourth Proportional to 2,331.06, 3,496.74 and 870.21

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Solution

The fourth proportional to 2,331.06, 3,496.74 and 870.21 is: 1,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.06 : 3,496.74 = 870.21 : x
  2. Step 2: Convert to fraction form
    2,331.06/3,496.74 = 870.21/x
  3. Step 3: Cross multiply
    2,331.06x = 3,496.74 × 870.21
  4. Step 4: Simplify right side
    2,331.06x = 3,042,898.12
  5. Step 5: Solve for x
    x = 3,042,898.12/2,331.06
  6. Step 6: Final answer
    x = 1,305.37

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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.