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Finding the Fourth Proportional to 1,852.01, 2,555.66 and 1,105.97

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Solution

The fourth proportional to 1,852.01, 2,555.66 and 1,105.97 is: 1,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.01 : 2,555.66 = 1,105.97 : x
  2. Step 2: Convert to fraction form
    1,852.01/2,555.66 = 1,105.97/x
  3. Step 3: Cross multiply
    1,852.01x = 2,555.66 × 1,105.97
  4. Step 4: Simplify right side
    1,852.01x = 2,826,473.28
  5. Step 5: Solve for x
    x = 2,826,473.28/1,852.01
  6. Step 6: Final answer
    x = 1,526.16

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