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Finding the Fourth Proportional to 2,352.95, 3,528.58 and 1,692.83

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Solution

The fourth proportional to 2,352.95, 3,528.58 and 1,692.83 is: 2,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.95 : 3,528.58 = 1,692.83 : x
  2. Step 2: Convert to fraction form
    2,352.95/3,528.58 = 1,692.83/x
  3. Step 3: Cross multiply
    2,352.95x = 3,528.58 × 1,692.83
  4. Step 4: Simplify right side
    2,352.95x = 5,973,286.08
  5. Step 5: Solve for x
    x = 5,973,286.08/2,352.95
  6. Step 6: Final answer
    x = 2,538.64

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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.