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Finding the Fourth Proportional to 2,352.57, 3,523.61 and 1,985.94

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Solution

The fourth proportional to 2,352.57, 3,523.61 and 1,985.94 is: 2,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.57 : 3,523.61 = 1,985.94 : x
  2. Step 2: Convert to fraction form
    2,352.57/3,523.61 = 1,985.94/x
  3. Step 3: Cross multiply
    2,352.57x = 3,523.61 × 1,985.94
  4. Step 4: Simplify right side
    2,352.57x = 6,997,678.04
  5. Step 5: Solve for x
    x = 6,997,678.04/2,352.57
  6. Step 6: Final answer
    x = 2,974.48

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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.