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Finding the Fourth Proportional to 2,854.33, 4,281.46 and 1,692.32

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Solution

The fourth proportional to 2,854.33, 4,281.46 and 1,692.32 is: 2,538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.33 : 4,281.46 = 1,692.32 : x
  2. Step 2: Convert to fraction form
    2,854.33/4,281.46 = 1,692.32/x
  3. Step 3: Cross multiply
    2,854.33x = 4,281.46 × 1,692.32
  4. Step 4: Simplify right side
    2,854.33x = 7,245,574.75
  5. Step 5: Solve for x
    x = 7,245,574.75/2,854.33
  6. Step 6: Final answer
    x = 2,538.45

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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.