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Finding the Fourth Proportional to 1,815.80, 2,722.75 and 841.07

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Solution

The fourth proportional to 1,815.80, 2,722.75 and 841.07 is: 1,261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.80 : 2,722.75 = 841.07 : x
  2. Step 2: Convert to fraction form
    1,815.80/2,722.75 = 841.07/x
  3. Step 3: Cross multiply
    1,815.80x = 2,722.75 × 841.07
  4. Step 4: Simplify right side
    1,815.80x = 2,290,023.34
  5. Step 5: Solve for x
    x = 2,290,023.34/1,815.80
  6. Step 6: Final answer
    x = 1,261.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.