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Finding the Fourth Proportional to 1,607.40, 2,410.22 and 827.06

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Solution

The fourth proportional to 1,607.40, 2,410.22 and 827.06 is: 1,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.40 : 2,410.22 = 827.06 : x
  2. Step 2: Convert to fraction form
    1,607.40/2,410.22 = 827.06/x
  3. Step 3: Cross multiply
    1,607.40x = 2,410.22 × 827.06
  4. Step 4: Simplify right side
    1,607.40x = 1,993,396.55
  5. Step 5: Solve for x
    x = 1,993,396.55/1,607.40
  6. Step 6: Final answer
    x = 1,240.14

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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.