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Finding the Fourth Proportional to 2,805.06, 3,871.06 and 1,563.06

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Solution

The fourth proportional to 2,805.06, 3,871.06 and 1,563.06 is: 2,157.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.06 : 3,871.06 = 1,563.06 : x
  2. Step 2: Convert to fraction form
    2,805.06/3,871.06 = 1,563.06/x
  3. Step 3: Cross multiply
    2,805.06x = 3,871.06 × 1,563.06
  4. Step 4: Simplify right side
    2,805.06x = 6,050,699.04
  5. Step 5: Solve for x
    x = 6,050,699.04/2,805.06
  6. Step 6: Final answer
    x = 2,157.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.