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Finding the Fourth Proportional to 2,352.63, 3,501.23 and 2,265.15

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Solution

The fourth proportional to 2,352.63, 3,501.23 and 2,265.15 is: 3,371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.63 : 3,501.23 = 2,265.15 : x
  2. Step 2: Convert to fraction form
    2,352.63/3,501.23 = 2,265.15/x
  3. Step 3: Cross multiply
    2,352.63x = 3,501.23 × 2,265.15
  4. Step 4: Simplify right side
    2,352.63x = 7,930,799.81
  5. Step 5: Solve for x
    x = 7,930,799.81/2,352.63
  6. Step 6: Final answer
    x = 3,371.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.