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Finding the Fourth Proportional to 1,476.08, 2,036.31 and 952.28

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Solution

The fourth proportional to 1,476.08, 2,036.31 and 952.28 is: 1,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.08 : 2,036.31 = 952.28 : x
  2. Step 2: Convert to fraction form
    1,476.08/2,036.31 = 952.28/x
  3. Step 3: Cross multiply
    1,476.08x = 2,036.31 × 952.28
  4. Step 4: Simplify right side
    1,476.08x = 1,939,137.29
  5. Step 5: Solve for x
    x = 1,939,137.29/1,476.08
  6. Step 6: Final answer
    x = 1,313.71

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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.