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Finding the Fourth Proportional to 1,471.04, 2,030.08 and 850.24

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Solution

The fourth proportional to 1,471.04, 2,030.08 and 850.24 is: 1,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.04 : 2,030.08 = 850.24 : x
  2. Step 2: Convert to fraction form
    1,471.04/2,030.08 = 850.24/x
  3. Step 3: Cross multiply
    1,471.04x = 2,030.08 × 850.24
  4. Step 4: Simplify right side
    1,471.04x = 1,726,055.22
  5. Step 5: Solve for x
    x = 1,726,055.22/1,471.04
  6. Step 6: Final answer
    x = 1,173.36

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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.