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Finding the Fourth Proportional to 1,901.40, 2,852.64 and 927.24

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Solution

The fourth proportional to 1,901.40, 2,852.64 and 927.24 is: 1,391.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.40 : 2,852.64 = 927.24 : x
  2. Step 2: Convert to fraction form
    1,901.40/2,852.64 = 927.24/x
  3. Step 3: Cross multiply
    1,901.40x = 2,852.64 × 927.24
  4. Step 4: Simplify right side
    1,901.40x = 2,645,081.91
  5. Step 5: Solve for x
    x = 2,645,081.91/1,901.40
  6. Step 6: Final answer
    x = 1,391.12

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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.