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Finding the Fourth Proportional to 2,652.04, 3,658.02 and 2,302.12

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Solution

The fourth proportional to 2,652.04, 3,658.02 and 2,302.12 is: 3,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.04 : 3,658.02 = 2,302.12 : x
  2. Step 2: Convert to fraction form
    2,652.04/3,658.02 = 2,302.12/x
  3. Step 3: Cross multiply
    2,652.04x = 3,658.02 × 2,302.12
  4. Step 4: Simplify right side
    2,652.04x = 8,421,201.00
  5. Step 5: Solve for x
    x = 8,421,201.00/2,652.04
  6. Step 6: Final answer
    x = 3,175.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.