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Finding the Fourth Proportional to 1,905.56, 2,856.75 and 810.70

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Solution

The fourth proportional to 1,905.56, 2,856.75 and 810.70 is: 1,215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.56 : 2,856.75 = 810.70 : x
  2. Step 2: Convert to fraction form
    1,905.56/2,856.75 = 810.70/x
  3. Step 3: Cross multiply
    1,905.56x = 2,856.75 × 810.70
  4. Step 4: Simplify right side
    1,905.56x = 2,315,967.23
  5. Step 5: Solve for x
    x = 2,315,967.23/1,905.56
  6. Step 6: Final answer
    x = 1,215.37

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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.