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Finding the Fourth Proportional to 2,104.84, 3,155.10 and 935.47

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Solution

The fourth proportional to 2,104.84, 3,155.10 and 935.47 is: 1,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.84 : 3,155.10 = 935.47 : x
  2. Step 2: Convert to fraction form
    2,104.84/3,155.10 = 935.47/x
  3. Step 3: Cross multiply
    2,104.84x = 3,155.10 × 935.47
  4. Step 4: Simplify right side
    2,104.84x = 2,951,501.40
  5. Step 5: Solve for x
    x = 2,951,501.40/2,104.84
  6. Step 6: Final answer
    x = 1,402.25

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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.