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Finding the Fourth Proportional to 2,370.75, 3,554.61 and 985.05

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Solution

The fourth proportional to 2,370.75, 3,554.61 and 985.05 is: 1,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.75 : 3,554.61 = 985.05 : x
  2. Step 2: Convert to fraction form
    2,370.75/3,554.61 = 985.05/x
  3. Step 3: Cross multiply
    2,370.75x = 3,554.61 × 985.05
  4. Step 4: Simplify right side
    2,370.75x = 3,501,468.58
  5. Step 5: Solve for x
    x = 3,501,468.58/2,370.75
  6. Step 6: Final answer
    x = 1,476.95

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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.