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Finding the Fourth Proportional to 2,465.02, 3,692.67 and 2,260.90

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Solution

The fourth proportional to 2,465.02, 3,692.67 and 2,260.90 is: 3,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.02 : 3,692.67 = 2,260.90 : x
  2. Step 2: Convert to fraction form
    2,465.02/3,692.67 = 2,260.90/x
  3. Step 3: Cross multiply
    2,465.02x = 3,692.67 × 2,260.90
  4. Step 4: Simplify right side
    2,465.02x = 8,348,757.60
  5. Step 5: Solve for x
    x = 8,348,757.60/2,465.02
  6. Step 6: Final answer
    x = 3,386.89

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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.