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Finding the Fourth Proportional to 2,265.05, 3,398.19 and 2,048.17

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Solution

The fourth proportional to 2,265.05, 3,398.19 and 2,048.17 is: 3,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.05 : 3,398.19 = 2,048.17 : x
  2. Step 2: Convert to fraction form
    2,265.05/3,398.19 = 2,048.17/x
  3. Step 3: Cross multiply
    2,265.05x = 3,398.19 × 2,048.17
  4. Step 4: Simplify right side
    2,265.05x = 6,960,070.81
  5. Step 5: Solve for x
    x = 6,960,070.81/2,265.05
  6. Step 6: Final answer
    x = 3,072.81

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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.