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Finding the Fourth Proportional to 1,815.22, 2,723.65 and 841.06

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Solution

The fourth proportional to 1,815.22, 2,723.65 and 841.06 is: 1,261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.22 : 2,723.65 = 841.06 : x
  2. Step 2: Convert to fraction form
    1,815.22/2,723.65 = 841.06/x
  3. Step 3: Cross multiply
    1,815.22x = 2,723.65 × 841.06
  4. Step 4: Simplify right side
    1,815.22x = 2,290,753.07
  5. Step 5: Solve for x
    x = 2,290,753.07/1,815.22
  6. Step 6: Final answer
    x = 1,261.97

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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.