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Finding the Fourth Proportional to 1,852.02, 2,555.75 and 1,066.02

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Solution

The fourth proportional to 1,852.02, 2,555.75 and 1,066.02 is: 1,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.02 : 2,555.75 = 1,066.02 : x
  2. Step 2: Convert to fraction form
    1,852.02/2,555.75 = 1,066.02/x
  3. Step 3: Cross multiply
    1,852.02x = 2,555.75 × 1,066.02
  4. Step 4: Simplify right side
    1,852.02x = 2,724,480.62
  5. Step 5: Solve for x
    x = 2,724,480.62/1,852.02
  6. Step 6: Final answer
    x = 1,471.09

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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.