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Finding the Fourth Proportional to 1,731.10, 2,597.60 and 807.09

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Solution

The fourth proportional to 1,731.10, 2,597.60 and 807.09 is: 1,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.10 : 2,597.60 = 807.09 : x
  2. Step 2: Convert to fraction form
    1,731.10/2,597.60 = 807.09/x
  3. Step 3: Cross multiply
    1,731.10x = 2,597.60 × 807.09
  4. Step 4: Simplify right side
    1,731.10x = 2,096,496.98
  5. Step 5: Solve for x
    x = 2,096,496.98/1,731.10
  6. Step 6: Final answer
    x = 1,211.08

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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.