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Finding the Fourth Proportional to 1,795.28, 2,690.72 and 857.15

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Solution

The fourth proportional to 1,795.28, 2,690.72 and 857.15 is: 1,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.28 : 2,690.72 = 857.15 : x
  2. Step 2: Convert to fraction form
    1,795.28/2,690.72 = 857.15/x
  3. Step 3: Cross multiply
    1,795.28x = 2,690.72 × 857.15
  4. Step 4: Simplify right side
    1,795.28x = 2,306,346.21
  5. Step 5: Solve for x
    x = 2,306,346.21/1,795.28
  6. Step 6: Final answer
    x = 1,284.67

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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.